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Finding the Fourth Proportional to 16,616.70, 22,931.13 and 9,164.70

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Solution

The fourth proportional to 16,616.70, 22,931.13 and 9,164.70 is: 12,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.70 : 22,931.13 = 9,164.70 : x
  2. Step 2: Convert to fraction form
    16,616.70/22,931.13 = 9,164.70/x
  3. Step 3: Cross multiply
    16,616.70x = 22,931.13 × 9,164.70
  4. Step 4: Simplify right side
    16,616.70x = 210,156,927.11
  5. Step 5: Solve for x
    x = 210,156,927.11/16,616.70
  6. Step 6: Final answer
    x = 12,647.33

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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.