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Finding the Fourth Proportional to 27,297.74, 40,947.42 and 7,577.76

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Solution

The fourth proportional to 27,297.74, 40,947.42 and 7,577.76 is: 11,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297.74 : 40,947.42 = 7,577.76 : x
  2. Step 2: Convert to fraction form
    27,297.74/40,947.42 = 7,577.76/x
  3. Step 3: Cross multiply
    27,297.74x = 40,947.42 × 7,577.76
  4. Step 4: Simplify right side
    27,297.74x = 310,289,721.38
  5. Step 5: Solve for x
    x = 310,289,721.38/27,297.74
  6. Step 6: Final answer
    x = 11,366.86

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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.