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Finding the Fourth Proportional to 6,871.50, 10,292.67 and 6,488.10

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Solution

The fourth proportional to 6,871.50, 10,292.67 and 6,488.10 is: 9,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.50 : 10,292.67 = 6,488.10 : x
  2. Step 2: Convert to fraction form
    6,871.50/10,292.67 = 6,488.10/x
  3. Step 3: Cross multiply
    6,871.50x = 10,292.67 × 6,488.10
  4. Step 4: Simplify right side
    6,871.50x = 66,779,872.23
  5. Step 5: Solve for x
    x = 66,779,872.23/6,871.50
  6. Step 6: Final answer
    x = 9,718.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.