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Finding the Fourth Proportional to 6,502.44, 9,734.46 and 6,416.04

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Solution

The fourth proportional to 6,502.44, 9,734.46 and 6,416.04 is: 9,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.44 : 9,734.46 = 6,416.04 : x
  2. Step 2: Convert to fraction form
    6,502.44/9,734.46 = 6,416.04/x
  3. Step 3: Cross multiply
    6,502.44x = 9,734.46 × 6,416.04
  4. Step 4: Simplify right side
    6,502.44x = 62,456,684.74
  5. Step 5: Solve for x
    x = 62,456,684.74/6,502.44
  6. Step 6: Final answer
    x = 9,605.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.