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Finding the Fourth Proportional to 16,480.20, 22,747 and 9,767.88

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Solution

The fourth proportional to 16,480.20, 22,747 and 9,767.88 is: 13,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.20 : 22,747 = 9,767.88 : x
  2. Step 2: Convert to fraction form
    16,480.20/22,747 = 9,767.88/x
  3. Step 3: Cross multiply
    16,480.20x = 22,747 × 9,767.88
  4. Step 4: Simplify right side
    16,480.20x = 222,189,966.36
  5. Step 5: Solve for x
    x = 222,189,966.36/16,480.20
  6. Step 6: Final answer
    x = 13,482.24

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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.