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Finding the Fourth Proportional to 16,596.74, 22,892.10 and 9,877.17

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Solution

The fourth proportional to 16,596.74, 22,892.10 and 9,877.17 is: 13,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.74 : 22,892.10 = 9,877.17 : x
  2. Step 2: Convert to fraction form
    16,596.74/22,892.10 = 9,877.17/x
  3. Step 3: Cross multiply
    16,596.74x = 22,892.10 × 9,877.17
  4. Step 4: Simplify right side
    16,596.74x = 226,109,163.36
  5. Step 5: Solve for x
    x = 226,109,163.36/16,596.74
  6. Step 6: Final answer
    x = 13,623.71

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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.