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Finding the Fourth Proportional to 8,098.56, 11,160.36 and 5,856.48

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Solution

The fourth proportional to 8,098.56, 11,160.36 and 5,856.48 is: 8,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.56 : 11,160.36 = 5,856.48 : x
  2. Step 2: Convert to fraction form
    8,098.56/11,160.36 = 5,856.48/x
  3. Step 3: Cross multiply
    8,098.56x = 11,160.36 × 5,856.48
  4. Step 4: Simplify right side
    8,098.56x = 65,360,425.13
  5. Step 5: Solve for x
    x = 65,360,425.13/8,098.56
  6. Step 6: Final answer
    x = 8,070.62

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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.