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Finding the Fourth Proportional to 6,502.40, 9,754.92 and 3,211.64

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Solution

The fourth proportional to 6,502.40, 9,754.92 and 3,211.64 is: 4,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.40 : 9,754.92 = 3,211.64 : x
  2. Step 2: Convert to fraction form
    6,502.40/9,754.92 = 3,211.64/x
  3. Step 3: Cross multiply
    6,502.40x = 9,754.92 × 3,211.64
  4. Step 4: Simplify right side
    6,502.40x = 31,329,291.27
  5. Step 5: Solve for x
    x = 31,329,291.27/6,502.40
  6. Step 6: Final answer
    x = 4,818.11

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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.