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Finding the Fourth Proportional to 6,412.68, 9,625.50 and 4,565.88

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Solution

The fourth proportional to 6,412.68, 9,625.50 and 4,565.88 is: 6,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.68 : 9,625.50 = 4,565.88 : x
  2. Step 2: Convert to fraction form
    6,412.68/9,625.50 = 4,565.88/x
  3. Step 3: Cross multiply
    6,412.68x = 9,625.50 × 4,565.88
  4. Step 4: Simplify right side
    6,412.68x = 43,948,877.94
  5. Step 5: Solve for x
    x = 43,948,877.94/6,412.68
  6. Step 6: Final answer
    x = 6,853.43

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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.