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Finding the Fourth Proportional to 16,006, 22,088.40 and 8,932.48

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Solution

The fourth proportional to 16,006, 22,088.40 and 8,932.48 is: 12,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006 : 22,088.40 = 8,932.48 : x
  2. Step 2: Convert to fraction form
    16,006/22,088.40 = 8,932.48/x
  3. Step 3: Cross multiply
    16,006x = 22,088.40 × 8,932.48
  4. Step 4: Simplify right side
    16,006x = 197,304,191.23
  5. Step 5: Solve for x
    x = 197,304,191.23/16,006
  6. Step 6: Final answer
    x = 12,326.89

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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.