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Finding the Fourth Proportional to 12,965.88, 17,893.02 and 7,377.24

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Solution

The fourth proportional to 12,965.88, 17,893.02 and 7,377.24 is: 10,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.88 : 17,893.02 = 7,377.24 : x
  2. Step 2: Convert to fraction form
    12,965.88/17,893.02 = 7,377.24/x
  3. Step 3: Cross multiply
    12,965.88x = 17,893.02 × 7,377.24
  4. Step 4: Simplify right side
    12,965.88x = 132,001,102.86
  5. Step 5: Solve for x
    x = 132,001,102.86/12,965.88
  6. Step 6: Final answer
    x = 10,180.65

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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.