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Finding the Fourth Proportional to 6,105.68, 9,159.12 and 1,723.17

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Solution

The fourth proportional to 6,105.68, 9,159.12 and 1,723.17 is: 2,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.68 : 9,159.12 = 1,723.17 : x
  2. Step 2: Convert to fraction form
    6,105.68/9,159.12 = 1,723.17/x
  3. Step 3: Cross multiply
    6,105.68x = 9,159.12 × 1,723.17
  4. Step 4: Simplify right side
    6,105.68x = 15,782,712.19
  5. Step 5: Solve for x
    x = 15,782,712.19/6,105.68
  6. Step 6: Final answer
    x = 2,584.93

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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.