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Finding the Fourth Proportional to 6,142.80, 9,221.40 and 6,099.60

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Solution

The fourth proportional to 6,142.80, 9,221.40 and 6,099.60 is: 9,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.80 : 9,221.40 = 6,099.60 : x
  2. Step 2: Convert to fraction form
    6,142.80/9,221.40 = 6,099.60/x
  3. Step 3: Cross multiply
    6,142.80x = 9,221.40 × 6,099.60
  4. Step 4: Simplify right side
    6,142.80x = 56,246,851.44
  5. Step 5: Solve for x
    x = 56,246,851.44/6,142.80
  6. Step 6: Final answer
    x = 9,156.55

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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.