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Finding the Fourth Proportional to 16,248.84, 22,422.84 and 9,078.96

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Solution

The fourth proportional to 16,248.84, 22,422.84 and 9,078.96 is: 12,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,248.84 : 22,422.84 = 9,078.96 : x
  2. Step 2: Convert to fraction form
    16,248.84/22,422.84 = 9,078.96/x
  3. Step 3: Cross multiply
    16,248.84x = 22,422.84 × 9,078.96
  4. Step 4: Simplify right side
    16,248.84x = 203,576,067.45
  5. Step 5: Solve for x
    x = 203,576,067.45/16,248.84
  6. Step 6: Final answer
    x = 12,528.65

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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.