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Finding the Fourth Proportional to 16,591.32, 22,891.16 and 9,873.59

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Solution

The fourth proportional to 16,591.32, 22,891.16 and 9,873.59 is: 13,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.32 : 22,891.16 = 9,873.59 : x
  2. Step 2: Convert to fraction form
    16,591.32/22,891.16 = 9,873.59/x
  3. Step 3: Cross multiply
    16,591.32x = 22,891.16 × 9,873.59
  4. Step 4: Simplify right side
    16,591.32x = 226,017,764.64
  5. Step 5: Solve for x
    x = 226,017,764.64/16,591.32
  6. Step 6: Final answer
    x = 13,622.65

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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.