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Finding the Fourth Proportional to 12,856.44, 17,741.78 and 7,191.20

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Solution

The fourth proportional to 12,856.44, 17,741.78 and 7,191.20 is: 9,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.44 : 17,741.78 = 7,191.20 : x
  2. Step 2: Convert to fraction form
    12,856.44/17,741.78 = 7,191.20/x
  3. Step 3: Cross multiply
    12,856.44x = 17,741.78 × 7,191.20
  4. Step 4: Simplify right side
    12,856.44x = 127,584,563.67
  5. Step 5: Solve for x
    x = 127,584,563.67/12,856.44
  6. Step 6: Final answer
    x = 9,923.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.