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Finding the Fourth Proportional to 12,524.52, 17,283.06 and 7,218.48

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Solution

The fourth proportional to 12,524.52, 17,283.06 and 7,218.48 is: 9,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.52 : 17,283.06 = 7,218.48 : x
  2. Step 2: Convert to fraction form
    12,524.52/17,283.06 = 7,218.48/x
  3. Step 3: Cross multiply
    12,524.52x = 17,283.06 × 7,218.48
  4. Step 4: Simplify right side
    12,524.52x = 124,757,422.95
  5. Step 5: Solve for x
    x = 124,757,422.95/12,524.52
  6. Step 6: Final answer
    x = 9,961.05

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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.