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Finding the Fourth Proportional to 6,652.59, 9,966.42 and 5,967.93

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Solution

The fourth proportional to 6,652.59, 9,966.42 and 5,967.93 is: 8,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.59 : 9,966.42 = 5,967.93 : x
  2. Step 2: Convert to fraction form
    6,652.59/9,966.42 = 5,967.93/x
  3. Step 3: Cross multiply
    6,652.59x = 9,966.42 × 5,967.93
  4. Step 4: Simplify right side
    6,652.59x = 59,478,896.91
  5. Step 5: Solve for x
    x = 59,478,896.91/6,652.59
  6. Step 6: Final answer
    x = 8,940.71

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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.