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Finding the Fourth Proportional to 6,952.83, 10,429.11 and 1,687.76

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Solution

The fourth proportional to 6,952.83, 10,429.11 and 1,687.76 is: 2,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.83 : 10,429.11 = 1,687.76 : x
  2. Step 2: Convert to fraction form
    6,952.83/10,429.11 = 1,687.76/x
  3. Step 3: Cross multiply
    6,952.83x = 10,429.11 × 1,687.76
  4. Step 4: Simplify right side
    6,952.83x = 17,601,782.55
  5. Step 5: Solve for x
    x = 17,601,782.55/6,952.83
  6. Step 6: Final answer
    x = 2,531.60

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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.