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Finding the Fourth Proportional to 8,251.76, 12,383.04 and 7,584.32

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Solution

The fourth proportional to 8,251.76, 12,383.04 and 7,584.32 is: 11,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.76 : 12,383.04 = 7,584.32 : x
  2. Step 2: Convert to fraction form
    8,251.76/12,383.04 = 7,584.32/x
  3. Step 3: Cross multiply
    8,251.76x = 12,383.04 × 7,584.32
  4. Step 4: Simplify right side
    8,251.76x = 93,916,937.93
  5. Step 5: Solve for x
    x = 93,916,937.93/8,251.76
  6. Step 6: Final answer
    x = 11,381.44

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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.