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Finding the Fourth Proportional to 7,294.92, 10,060 and 4,637.60

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Solution

The fourth proportional to 7,294.92, 10,060 and 4,637.60 is: 6,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.92 : 10,060 = 4,637.60 : x
  2. Step 2: Convert to fraction form
    7,294.92/10,060 = 4,637.60/x
  3. Step 3: Cross multiply
    7,294.92x = 10,060 × 4,637.60
  4. Step 4: Simplify right side
    7,294.92x = 46,654,256
  5. Step 5: Solve for x
    x = 46,654,256/7,294.92
  6. Step 6: Final answer
    x = 6,395.44

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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.