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Finding the Fourth Proportional to 8,412.48, 12,613.68 and 7,180.32

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Solution

The fourth proportional to 8,412.48, 12,613.68 and 7,180.32 is: 10,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.48 : 12,613.68 = 7,180.32 : x
  2. Step 2: Convert to fraction form
    8,412.48/12,613.68 = 7,180.32/x
  3. Step 3: Cross multiply
    8,412.48x = 12,613.68 × 7,180.32
  4. Step 4: Simplify right side
    8,412.48x = 90,570,258.78
  5. Step 5: Solve for x
    x = 90,570,258.78/8,412.48
  6. Step 6: Final answer
    x = 10,766.18

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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.