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Finding the Fourth Proportional to 7,871.06, 10,861.08 and 5,324.38

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Solution

The fourth proportional to 7,871.06, 10,861.08 and 5,324.38 is: 7,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.06 : 10,861.08 = 5,324.38 : x
  2. Step 2: Convert to fraction form
    7,871.06/10,861.08 = 5,324.38/x
  3. Step 3: Cross multiply
    7,871.06x = 10,861.08 × 5,324.38
  4. Step 4: Simplify right side
    7,871.06x = 57,828,470.01
  5. Step 5: Solve for x
    x = 57,828,470.01/7,871.06
  6. Step 6: Final answer
    x = 7,346.97

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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.