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Finding the Fourth Proportional to 11,898.66, 16,420.10 and 6,593.47

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Solution

The fourth proportional to 11,898.66, 16,420.10 and 6,593.47 is: 9,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.66 : 16,420.10 = 6,593.47 : x
  2. Step 2: Convert to fraction form
    11,898.66/16,420.10 = 6,593.47/x
  3. Step 3: Cross multiply
    11,898.66x = 16,420.10 × 6,593.47
  4. Step 4: Simplify right side
    11,898.66x = 108,265,436.75
  5. Step 5: Solve for x
    x = 108,265,436.75/11,898.66
  6. Step 6: Final answer
    x = 9,098.96

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1.5x scale

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.