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Finding the Fourth Proportional to 6,871.01, 10,256.76 and 6,357.41

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Solution

The fourth proportional to 6,871.01, 10,256.76 and 6,357.41 is: 9,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.01 : 10,256.76 = 6,357.41 : x
  2. Step 2: Convert to fraction form
    6,871.01/10,256.76 = 6,357.41/x
  3. Step 3: Cross multiply
    6,871.01x = 10,256.76 × 6,357.41
  4. Step 4: Simplify right side
    6,871.01x = 65,206,377.31
  5. Step 5: Solve for x
    x = 65,206,377.31/6,871.01
  6. Step 6: Final answer
    x = 9,490.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.