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Finding the Fourth Proportional to 7,313.92, 10,092.96 and 4,171.12

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Solution

The fourth proportional to 7,313.92, 10,092.96 and 4,171.12 is: 5,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.92 : 10,092.96 = 4,171.12 : x
  2. Step 2: Convert to fraction form
    7,313.92/10,092.96 = 4,171.12/x
  3. Step 3: Cross multiply
    7,313.92x = 10,092.96 × 4,171.12
  4. Step 4: Simplify right side
    7,313.92x = 42,098,947.32
  5. Step 5: Solve for x
    x = 42,098,947.32/7,313.92
  6. Step 6: Final answer
    x = 5,756.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.