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Finding the Fourth Proportional to 12,472.24, 17,211.24 and 6,883.12

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Solution

The fourth proportional to 12,472.24, 17,211.24 and 6,883.12 is: 9,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.24 : 17,211.24 = 6,883.12 : x
  2. Step 2: Convert to fraction form
    12,472.24/17,211.24 = 6,883.12/x
  3. Step 3: Cross multiply
    12,472.24x = 17,211.24 × 6,883.12
  4. Step 4: Simplify right side
    12,472.24x = 118,467,030.27
  5. Step 5: Solve for x
    x = 118,467,030.27/12,472.24
  6. Step 6: Final answer
    x = 9,498.46

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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.