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Finding the Fourth Proportional to 6,472.88, 9,706.86 and 2,312.12

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Solution

The fourth proportional to 6,472.88, 9,706.86 and 2,312.12 is: 3,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.88 : 9,706.86 = 2,312.12 : x
  2. Step 2: Convert to fraction form
    6,472.88/9,706.86 = 2,312.12/x
  3. Step 3: Cross multiply
    6,472.88x = 9,706.86 × 2,312.12
  4. Step 4: Simplify right side
    6,472.88x = 22,443,425.14
  5. Step 5: Solve for x
    x = 22,443,425.14/6,472.88
  6. Step 6: Final answer
    x = 3,467.30

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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.