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Finding the Fourth Proportional to 12,824.97, 17,703.17 and 7,524.24

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Solution

The fourth proportional to 12,824.97, 17,703.17 and 7,524.24 is: 10,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.97 : 17,703.17 = 7,524.24 : x
  2. Step 2: Convert to fraction form
    12,824.97/17,703.17 = 7,524.24/x
  3. Step 3: Cross multiply
    12,824.97x = 17,703.17 × 7,524.24
  4. Step 4: Simplify right side
    12,824.97x = 133,202,899.84
  5. Step 5: Solve for x
    x = 133,202,899.84/12,824.97
  6. Step 6: Final answer
    x = 10,386.22

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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.