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Finding the Fourth Proportional to 7,761.17, 10,710.13 and 4,224.30

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Solution

The fourth proportional to 7,761.17, 10,710.13 and 4,224.30 is: 5,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.17 : 10,710.13 = 4,224.30 : x
  2. Step 2: Convert to fraction form
    7,761.17/10,710.13 = 4,224.30/x
  3. Step 3: Cross multiply
    7,761.17x = 10,710.13 × 4,224.30
  4. Step 4: Simplify right side
    7,761.17x = 45,242,802.16
  5. Step 5: Solve for x
    x = 45,242,802.16/7,761.17
  6. Step 6: Final answer
    x = 5,829.38

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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.