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Finding the Fourth Proportional to 6,502.13, 8,969.29 and 3,985.46

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Solution

The fourth proportional to 6,502.13, 8,969.29 and 3,985.46 is: 5,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.13 : 8,969.29 = 3,985.46 : x
  2. Step 2: Convert to fraction form
    6,502.13/8,969.29 = 3,985.46/x
  3. Step 3: Cross multiply
    6,502.13x = 8,969.29 × 3,985.46
  4. Step 4: Simplify right side
    6,502.13x = 35,746,691.71
  5. Step 5: Solve for x
    x = 35,746,691.71/6,502.13
  6. Step 6: Final answer
    x = 5,497.69

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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.