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Finding the Fourth Proportional to 16,253.14, 22,428.93 and 9,179.38

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Solution

The fourth proportional to 16,253.14, 22,428.93 and 9,179.38 is: 12,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.14 : 22,428.93 = 9,179.38 : x
  2. Step 2: Convert to fraction form
    16,253.14/22,428.93 = 9,179.38/x
  3. Step 3: Cross multiply
    16,253.14x = 22,428.93 × 9,179.38
  4. Step 4: Simplify right side
    16,253.14x = 205,883,671.46
  5. Step 5: Solve for x
    x = 205,883,671.46/16,253.14
  6. Step 6: Final answer
    x = 12,667.32

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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.