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Finding the Fourth Proportional to 15,847.68, 23,775 and 5,987.04

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Solution

The fourth proportional to 15,847.68, 23,775 and 5,987.04 is: 8,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.68 : 23,775 = 5,987.04 : x
  2. Step 2: Convert to fraction form
    15,847.68/23,775 = 5,987.04/x
  3. Step 3: Cross multiply
    15,847.68x = 23,775 × 5,987.04
  4. Step 4: Simplify right side
    15,847.68x = 142,341,876
  5. Step 5: Solve for x
    x = 142,341,876/15,847.68
  6. Step 6: Final answer
    x = 8,981.87

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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.