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Finding the Fourth Proportional to 11,877.94, 17,834.89 and 9,432.58

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Solution

The fourth proportional to 11,877.94, 17,834.89 and 9,432.58 is: 14,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.94 : 17,834.89 = 9,432.58 : x
  2. Step 2: Convert to fraction form
    11,877.94/17,834.89 = 9,432.58/x
  3. Step 3: Cross multiply
    11,877.94x = 17,834.89 × 9,432.58
  4. Step 4: Simplify right side
    11,877.94x = 168,229,026.72
  5. Step 5: Solve for x
    x = 168,229,026.72/11,877.94
  6. Step 6: Final answer
    x = 14,163.15

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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.