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Finding the Fourth Proportional to 7,141.76, 10,710.12 and 2,142.64

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Solution

The fourth proportional to 7,141.76, 10,710.12 and 2,142.64 is: 3,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.76 : 10,710.12 = 2,142.64 : x
  2. Step 2: Convert to fraction form
    7,141.76/10,710.12 = 2,142.64/x
  3. Step 3: Cross multiply
    7,141.76x = 10,710.12 × 2,142.64
  4. Step 4: Simplify right side
    7,141.76x = 22,947,877.97
  5. Step 5: Solve for x
    x = 22,947,877.97/7,141.76
  6. Step 6: Final answer
    x = 3,213.20

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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.