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Finding the Fourth Proportional to 8,549.97, 12,816.42 and 4,099.42

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Solution

The fourth proportional to 8,549.97, 12,816.42 and 4,099.42 is: 6,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.97 : 12,816.42 = 4,099.42 : x
  2. Step 2: Convert to fraction form
    8,549.97/12,816.42 = 4,099.42/x
  3. Step 3: Cross multiply
    8,549.97x = 12,816.42 × 4,099.42
  4. Step 4: Simplify right side
    8,549.97x = 52,539,888.48
  5. Step 5: Solve for x
    x = 52,539,888.48/8,549.97
  6. Step 6: Final answer
    x = 6,145.04

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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.