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Finding the Fourth Proportional to 6,502.65, 9,737.37 and 3,577.74

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Solution

The fourth proportional to 6,502.65, 9,737.37 and 3,577.74 is: 5,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.65 : 9,737.37 = 3,577.74 : x
  2. Step 2: Convert to fraction form
    6,502.65/9,737.37 = 3,577.74/x
  3. Step 3: Cross multiply
    6,502.65x = 9,737.37 × 3,577.74
  4. Step 4: Simplify right side
    6,502.65x = 34,837,778.14
  5. Step 5: Solve for x
    x = 34,837,778.14/6,502.65
  6. Step 6: Final answer
    x = 5,357.47

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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.