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Finding the Fourth Proportional to 6,594.66, 9,892.02 and 4,387.61

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Solution

The fourth proportional to 6,594.66, 9,892.02 and 4,387.61 is: 6,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.66 : 9,892.02 = 4,387.61 : x
  2. Step 2: Convert to fraction form
    6,594.66/9,892.02 = 4,387.61/x
  3. Step 3: Cross multiply
    6,594.66x = 9,892.02 × 4,387.61
  4. Step 4: Simplify right side
    6,594.66x = 43,402,325.87
  5. Step 5: Solve for x
    x = 43,402,325.87/6,594.66
  6. Step 6: Final answer
    x = 6,581.43

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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.