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Finding the Fourth Proportional to 8,356.34, 12,534.60 and 3,974.24

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Solution

The fourth proportional to 8,356.34, 12,534.60 and 3,974.24 is: 5,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.34 : 12,534.60 = 3,974.24 : x
  2. Step 2: Convert to fraction form
    8,356.34/12,534.60 = 3,974.24/x
  3. Step 3: Cross multiply
    8,356.34x = 12,534.60 × 3,974.24
  4. Step 4: Simplify right side
    8,356.34x = 49,815,508.70
  5. Step 5: Solve for x
    x = 49,815,508.70/8,356.34
  6. Step 6: Final answer
    x = 5,961.40

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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.