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Finding the Fourth Proportional to 27,647.70, 41,471.55 and 12,851.70

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Solution

The fourth proportional to 27,647.70, 41,471.55 and 12,851.70 is: 19,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.70 : 41,471.55 = 12,851.70 : x
  2. Step 2: Convert to fraction form
    27,647.70/41,471.55 = 12,851.70/x
  3. Step 3: Cross multiply
    27,647.70x = 41,471.55 × 12,851.70
  4. Step 4: Simplify right side
    27,647.70x = 532,979,919.14
  5. Step 5: Solve for x
    x = 532,979,919.14/27,647.70
  6. Step 6: Final answer
    x = 19,277.55

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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.