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Finding the Fourth Proportional to 6,593.74, 9,892.16 and 1,913.87

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Solution

The fourth proportional to 6,593.74, 9,892.16 and 1,913.87 is: 2,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.74 : 9,892.16 = 1,913.87 : x
  2. Step 2: Convert to fraction form
    6,593.74/9,892.16 = 1,913.87/x
  3. Step 3: Cross multiply
    6,593.74x = 9,892.16 × 1,913.87
  4. Step 4: Simplify right side
    6,593.74x = 18,932,308.26
  5. Step 5: Solve for x
    x = 18,932,308.26/6,593.74
  6. Step 6: Final answer
    x = 2,871.25

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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.