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Finding the Fourth Proportional to 7,654.96, 10,571.25 and 6,597.10

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Solution

The fourth proportional to 7,654.96, 10,571.25 and 6,597.10 is: 9,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.96 : 10,571.25 = 6,597.10 : x
  2. Step 2: Convert to fraction form
    7,654.96/10,571.25 = 6,597.10/x
  3. Step 3: Cross multiply
    7,654.96x = 10,571.25 × 6,597.10
  4. Step 4: Simplify right side
    7,654.96x = 69,739,593.38
  5. Step 5: Solve for x
    x = 69,739,593.38/7,654.96
  6. Step 6: Final answer
    x = 9,110.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.