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Finding the Fourth Proportional to 7,152.92, 9,871.62 and 3,966.54

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Solution

The fourth proportional to 7,152.92, 9,871.62 and 3,966.54 is: 5,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.92 : 9,871.62 = 3,966.54 : x
  2. Step 2: Convert to fraction form
    7,152.92/9,871.62 = 3,966.54/x
  3. Step 3: Cross multiply
    7,152.92x = 9,871.62 × 3,966.54
  4. Step 4: Simplify right side
    7,152.92x = 39,156,123.70
  5. Step 5: Solve for x
    x = 39,156,123.70/7,152.92
  6. Step 6: Final answer
    x = 5,474.14

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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.