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Finding the Fourth Proportional to 6,301.62, 9,451.62 and 2,141.46

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Solution

The fourth proportional to 6,301.62, 9,451.62 and 2,141.46 is: 3,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.62 : 9,451.62 = 2,141.46 : x
  2. Step 2: Convert to fraction form
    6,301.62/9,451.62 = 2,141.46/x
  3. Step 3: Cross multiply
    6,301.62x = 9,451.62 × 2,141.46
  4. Step 4: Simplify right side
    6,301.62x = 20,240,266.17
  5. Step 5: Solve for x
    x = 20,240,266.17/6,301.62
  6. Step 6: Final answer
    x = 3,211.91

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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.