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Finding the Fourth Proportional to 7,049.60, 9,729 and 4,397.36

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Solution

The fourth proportional to 7,049.60, 9,729 and 4,397.36 is: 6,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.60 : 9,729 = 4,397.36 : x
  2. Step 2: Convert to fraction form
    7,049.60/9,729 = 4,397.36/x
  3. Step 3: Cross multiply
    7,049.60x = 9,729 × 4,397.36
  4. Step 4: Simplify right side
    7,049.60x = 42,781,915.44
  5. Step 5: Solve for x
    x = 42,781,915.44/7,049.60
  6. Step 6: Final answer
    x = 6,068.70

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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.