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Finding the Fourth Proportional to 6,471.70, 9,702.26 and 2,309.35

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Solution

The fourth proportional to 6,471.70, 9,702.26 and 2,309.35 is: 3,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.70 : 9,702.26 = 2,309.35 : x
  2. Step 2: Convert to fraction form
    6,471.70/9,702.26 = 2,309.35/x
  3. Step 3: Cross multiply
    6,471.70x = 9,702.26 × 2,309.35
  4. Step 4: Simplify right side
    6,471.70x = 22,405,902.58
  5. Step 5: Solve for x
    x = 22,405,902.58/6,471.70
  6. Step 6: Final answer
    x = 3,462.14

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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.