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Finding the Fourth Proportional to 7,649.58, 11,447 and 5,994.76

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Solution

The fourth proportional to 7,649.58, 11,447 and 5,994.76 is: 8,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.58 : 11,447 = 5,994.76 : x
  2. Step 2: Convert to fraction form
    7,649.58/11,447 = 5,994.76/x
  3. Step 3: Cross multiply
    7,649.58x = 11,447 × 5,994.76
  4. Step 4: Simplify right side
    7,649.58x = 68,622,017.72
  5. Step 5: Solve for x
    x = 68,622,017.72/7,649.58
  6. Step 6: Final answer
    x = 8,970.69

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.