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Finding the Fourth Proportional to 8,302.74, 11,454.75 and 4,946.46

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Solution

The fourth proportional to 8,302.74, 11,454.75 and 4,946.46 is: 6,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.74 : 11,454.75 = 4,946.46 : x
  2. Step 2: Convert to fraction form
    8,302.74/11,454.75 = 4,946.46/x
  3. Step 3: Cross multiply
    8,302.74x = 11,454.75 × 4,946.46
  4. Step 4: Simplify right side
    8,302.74x = 56,660,462.69
  5. Step 5: Solve for x
    x = 56,660,462.69/8,302.74
  6. Step 6: Final answer
    x = 6,824.31

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Double scale
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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.