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Finding the Fourth Proportional to 6,947.74, 10,409.48 and 5,785.22

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Solution

The fourth proportional to 6,947.74, 10,409.48 and 5,785.22 is: 8,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.74 : 10,409.48 = 5,785.22 : x
  2. Step 2: Convert to fraction form
    6,947.74/10,409.48 = 5,785.22/x
  3. Step 3: Cross multiply
    6,947.74x = 10,409.48 × 5,785.22
  4. Step 4: Simplify right side
    6,947.74x = 60,221,150.68
  5. Step 5: Solve for x
    x = 60,221,150.68/6,947.74
  6. Step 6: Final answer
    x = 8,667.73

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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.