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Finding the Fourth Proportional to 6,472.39, 9,706.19 and 2,311.28

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Solution

The fourth proportional to 6,472.39, 9,706.19 and 2,311.28 is: 3,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.39 : 9,706.19 = 2,311.28 : x
  2. Step 2: Convert to fraction form
    6,472.39/9,706.19 = 2,311.28/x
  3. Step 3: Cross multiply
    6,472.39x = 9,706.19 × 2,311.28
  4. Step 4: Simplify right side
    6,472.39x = 22,433,722.82
  5. Step 5: Solve for x
    x = 22,433,722.82/6,472.39
  6. Step 6: Final answer
    x = 3,466.06

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1.5x scale

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.