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Finding the Fourth Proportional to 6,862.65, 9,463.34 and 5,871.21

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Solution

The fourth proportional to 6,862.65, 9,463.34 and 5,871.21 is: 8,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.65 : 9,463.34 = 5,871.21 : x
  2. Step 2: Convert to fraction form
    6,862.65/9,463.34 = 5,871.21/x
  3. Step 3: Cross multiply
    6,862.65x = 9,463.34 × 5,871.21
  4. Step 4: Simplify right side
    6,862.65x = 55,561,227.09
  5. Step 5: Solve for x
    x = 55,561,227.09/6,862.65
  6. Step 6: Final answer
    x = 8,096.18

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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.