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Finding the Fourth Proportional to 27,807.12, 41,711 and 9,339.12

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Solution

The fourth proportional to 27,807.12, 41,711 and 9,339.12 is: 14,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.12 : 41,711 = 9,339.12 : x
  2. Step 2: Convert to fraction form
    27,807.12/41,711 = 9,339.12/x
  3. Step 3: Cross multiply
    27,807.12x = 41,711 × 9,339.12
  4. Step 4: Simplify right side
    27,807.12x = 389,544,034.32
  5. Step 5: Solve for x
    x = 389,544,034.32/27,807.12
  6. Step 6: Final answer
    x = 14,008.79

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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.