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Finding the Fourth Proportional to 11,502.84, 17,232.38 and 5,947.86

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Solution

The fourth proportional to 11,502.84, 17,232.38 and 5,947.86 is: 8,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.84 : 17,232.38 = 5,947.86 : x
  2. Step 2: Convert to fraction form
    11,502.84/17,232.38 = 5,947.86/x
  3. Step 3: Cross multiply
    11,502.84x = 17,232.38 × 5,947.86
  4. Step 4: Simplify right side
    11,502.84x = 102,495,753.97
  5. Step 5: Solve for x
    x = 102,495,753.97/11,502.84
  6. Step 6: Final answer
    x = 8,910.47

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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.