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Finding the Fourth Proportional to 11,746.63, 16,211.10 and 7,760.76

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Solution

The fourth proportional to 11,746.63, 16,211.10 and 7,760.76 is: 10,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.63 : 16,211.10 = 7,760.76 : x
  2. Step 2: Convert to fraction form
    11,746.63/16,211.10 = 7,760.76/x
  3. Step 3: Cross multiply
    11,746.63x = 16,211.10 × 7,760.76
  4. Step 4: Simplify right side
    11,746.63x = 125,810,456.44
  5. Step 5: Solve for x
    x = 125,810,456.44/11,746.63
  6. Step 6: Final answer
    x = 10,710.34

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Half scale
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Double scale
Find fourth proportional to 11,747.63, 16,212.48 and 7,761.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.