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Finding the Fourth Proportional to 8,249.40, 12,374.10 and 3,641.40

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Solution

The fourth proportional to 8,249.40, 12,374.10 and 3,641.40 is: 5,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.40 : 12,374.10 = 3,641.40 : x
  2. Step 2: Convert to fraction form
    8,249.40/12,374.10 = 3,641.40/x
  3. Step 3: Cross multiply
    8,249.40x = 12,374.10 × 3,641.40
  4. Step 4: Simplify right side
    8,249.40x = 45,059,047.74
  5. Step 5: Solve for x
    x = 45,059,047.74/8,249.40
  6. Step 6: Final answer
    x = 5,462.10

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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.