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Finding the Fourth Proportional to 6,438.69, 9,657.93 and 2,543.13

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Solution

The fourth proportional to 6,438.69, 9,657.93 and 2,543.13 is: 3,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.69 : 9,657.93 = 2,543.13 : x
  2. Step 2: Convert to fraction form
    6,438.69/9,657.93 = 2,543.13/x
  3. Step 3: Cross multiply
    6,438.69x = 9,657.93 × 2,543.13
  4. Step 4: Simplify right side
    6,438.69x = 24,561,371.52
  5. Step 5: Solve for x
    x = 24,561,371.52/6,438.69
  6. Step 6: Final answer
    x = 3,814.65

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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.