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Finding the Fourth Proportional to 12,472.12, 17,211.42 and 6,883

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Solution

The fourth proportional to 12,472.12, 17,211.42 and 6,883 is: 9,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.12 : 17,211.42 = 6,883 : x
  2. Step 2: Convert to fraction form
    12,472.12/17,211.42 = 6,883/x
  3. Step 3: Cross multiply
    12,472.12x = 17,211.42 × 6,883
  4. Step 4: Simplify right side
    12,472.12x = 118,466,203.86
  5. Step 5: Solve for x
    x = 118,466,203.86/12,472.12
  6. Step 6: Final answer
    x = 9,498.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.