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Finding the Fourth Proportional to 8,974.50, 12,384.80 and 5,197.86

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Solution

The fourth proportional to 8,974.50, 12,384.80 and 5,197.86 is: 7,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.50 : 12,384.80 = 5,197.86 : x
  2. Step 2: Convert to fraction form
    8,974.50/12,384.80 = 5,197.86/x
  3. Step 3: Cross multiply
    8,974.50x = 12,384.80 × 5,197.86
  4. Step 4: Simplify right side
    8,974.50x = 64,374,456.53
  5. Step 5: Solve for x
    x = 64,374,456.53/8,974.50
  6. Step 6: Final answer
    x = 7,173.04

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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.