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Finding the Fourth Proportional to 7,171.52, 10,762.14 and 6,734.12

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Solution

The fourth proportional to 7,171.52, 10,762.14 and 6,734.12 is: 10,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.52 : 10,762.14 = 6,734.12 : x
  2. Step 2: Convert to fraction form
    7,171.52/10,762.14 = 6,734.12/x
  3. Step 3: Cross multiply
    7,171.52x = 10,762.14 × 6,734.12
  4. Step 4: Simplify right side
    7,171.52x = 72,473,542.22
  5. Step 5: Solve for x
    x = 72,473,542.22/7,171.52
  6. Step 6: Final answer
    x = 10,105.74

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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.