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Finding the Fourth Proportional to 12,544.88, 18,822.78 and 5,971.12

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Solution

The fourth proportional to 12,544.88, 18,822.78 and 5,971.12 is: 8,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.88 : 18,822.78 = 5,971.12 : x
  2. Step 2: Convert to fraction form
    12,544.88/18,822.78 = 5,971.12/x
  3. Step 3: Cross multiply
    12,544.88x = 18,822.78 × 5,971.12
  4. Step 4: Simplify right side
    12,544.88x = 112,393,031.06
  5. Step 5: Solve for x
    x = 112,393,031.06/12,544.88
  6. Step 6: Final answer
    x = 8,959.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.