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Finding the Fourth Proportional to 8,297.80, 12,446.70 and 2,454.40

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Solution

The fourth proportional to 8,297.80, 12,446.70 and 2,454.40 is: 3,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.80 : 12,446.70 = 2,454.40 : x
  2. Step 2: Convert to fraction form
    8,297.80/12,446.70 = 2,454.40/x
  3. Step 3: Cross multiply
    8,297.80x = 12,446.70 × 2,454.40
  4. Step 4: Simplify right side
    8,297.80x = 30,549,180.48
  5. Step 5: Solve for x
    x = 30,549,180.48/8,297.80
  6. Step 6: Final answer
    x = 3,681.60

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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.