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Finding the Fourth Proportional to 6,952.50, 10,429.89 and 2,271.15

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Solution

The fourth proportional to 6,952.50, 10,429.89 and 2,271.15 is: 3,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.50 : 10,429.89 = 2,271.15 : x
  2. Step 2: Convert to fraction form
    6,952.50/10,429.89 = 2,271.15/x
  3. Step 3: Cross multiply
    6,952.50x = 10,429.89 × 2,271.15
  4. Step 4: Simplify right side
    6,952.50x = 23,687,889.46
  5. Step 5: Solve for x
    x = 23,687,889.46/6,952.50
  6. Step 6: Final answer
    x = 3,407.10

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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.