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Finding the Fourth Proportional to 16,588.62, 22,892.00 and 9,034.98

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Solution

The fourth proportional to 16,588.62, 22,892.00 and 9,034.98 is: 12,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.62 : 22,892.00 = 9,034.98 : x
  2. Step 2: Convert to fraction form
    16,588.62/22,892.00 = 9,034.98/x
  3. Step 3: Cross multiply
    16,588.62x = 22,892.00 × 9,034.98
  4. Step 4: Simplify right side
    16,588.62x = 206,828,716.99
  5. Step 5: Solve for x
    x = 206,828,716.99/16,588.62
  6. Step 6: Final answer
    x = 12,468.11

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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.