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Finding the Fourth Proportional to 8,514.60, 11,737.71 and 5,989.20

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Solution

The fourth proportional to 8,514.60, 11,737.71 and 5,989.20 is: 8,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.60 : 11,737.71 = 5,989.20 : x
  2. Step 2: Convert to fraction form
    8,514.60/11,737.71 = 5,989.20/x
  3. Step 3: Cross multiply
    8,514.60x = 11,737.71 × 5,989.20
  4. Step 4: Simplify right side
    8,514.60x = 70,299,492.73
  5. Step 5: Solve for x
    x = 70,299,492.73/8,514.60
  6. Step 6: Final answer
    x = 8,256.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.