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Finding the Fourth Proportional to 8,114.40, 12,171.60 and 7,142.40

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Solution

The fourth proportional to 8,114.40, 12,171.60 and 7,142.40 is: 10,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.40 : 12,171.60 = 7,142.40 : x
  2. Step 2: Convert to fraction form
    8,114.40/12,171.60 = 7,142.40/x
  3. Step 3: Cross multiply
    8,114.40x = 12,171.60 × 7,142.40
  4. Step 4: Simplify right side
    8,114.40x = 86,934,435.84
  5. Step 5: Solve for x
    x = 86,934,435.84/8,114.40
  6. Step 6: Final answer
    x = 10,713.60

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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.