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Finding the Fourth Proportional to 22,472.84, 33,715.78 and 6,892.76

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Solution

The fourth proportional to 22,472.84, 33,715.78 and 6,892.76 is: 10,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.84 : 33,715.78 = 6,892.76 : x
  2. Step 2: Convert to fraction form
    22,472.84/33,715.78 = 6,892.76/x
  3. Step 3: Cross multiply
    22,472.84x = 33,715.78 × 6,892.76
  4. Step 4: Simplify right side
    22,472.84x = 232,394,779.75
  5. Step 5: Solve for x
    x = 232,394,779.75/22,472.84
  6. Step 6: Final answer
    x = 10,341.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.