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Finding the Fourth Proportional to 6,355.71, 9,531.54 and 2,657.25

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Solution

The fourth proportional to 6,355.71, 9,531.54 and 2,657.25 is: 3,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.71 : 9,531.54 = 2,657.25 : x
  2. Step 2: Convert to fraction form
    6,355.71/9,531.54 = 2,657.25/x
  3. Step 3: Cross multiply
    6,355.71x = 9,531.54 × 2,657.25
  4. Step 4: Simplify right side
    6,355.71x = 25,327,684.67
  5. Step 5: Solve for x
    x = 25,327,684.67/6,355.71
  6. Step 6: Final answer
    x = 3,985.03

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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.