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Finding the Fourth Proportional to 6,472.13, 9,708.20 and 2,774.07

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Solution

The fourth proportional to 6,472.13, 9,708.20 and 2,774.07 is: 4,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.13 : 9,708.20 = 2,774.07 : x
  2. Step 2: Convert to fraction form
    6,472.13/9,708.20 = 2,774.07/x
  3. Step 3: Cross multiply
    6,472.13x = 9,708.20 × 2,774.07
  4. Step 4: Simplify right side
    6,472.13x = 26,931,212.50
  5. Step 5: Solve for x
    x = 26,931,212.50/6,472.13
  6. Step 6: Final answer
    x = 4,161.11

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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.