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Finding the Fourth Proportional to 6,462.54, 9,693.88 and 3,685.90

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Solution

The fourth proportional to 6,462.54, 9,693.88 and 3,685.90 is: 5,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.54 : 9,693.88 = 3,685.90 : x
  2. Step 2: Convert to fraction form
    6,462.54/9,693.88 = 3,685.90/x
  3. Step 3: Cross multiply
    6,462.54x = 9,693.88 × 3,685.90
  4. Step 4: Simplify right side
    6,462.54x = 35,730,672.29
  5. Step 5: Solve for x
    x = 35,730,672.29/6,462.54
  6. Step 6: Final answer
    x = 5,528.89

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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.