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Finding the Fourth Proportional to 16,446.84, 22,691.16 and 9,275.88

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Solution

The fourth proportional to 16,446.84, 22,691.16 and 9,275.88 is: 12,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.84 : 22,691.16 = 9,275.88 : x
  2. Step 2: Convert to fraction form
    16,446.84/22,691.16 = 9,275.88/x
  3. Step 3: Cross multiply
    16,446.84x = 22,691.16 × 9,275.88
  4. Step 4: Simplify right side
    16,446.84x = 210,480,477.22
  5. Step 5: Solve for x
    x = 210,480,477.22/16,446.84
  6. Step 6: Final answer
    x = 12,797.62

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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.