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Finding the Fourth Proportional to 6,305.70, 9,459.42 and 2,146.88

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Solution

The fourth proportional to 6,305.70, 9,459.42 and 2,146.88 is: 3,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.70 : 9,459.42 = 2,146.88 : x
  2. Step 2: Convert to fraction form
    6,305.70/9,459.42 = 2,146.88/x
  3. Step 3: Cross multiply
    6,305.70x = 9,459.42 × 2,146.88
  4. Step 4: Simplify right side
    6,305.70x = 20,308,239.61
  5. Step 5: Solve for x
    x = 20,308,239.61/6,305.70
  6. Step 6: Final answer
    x = 3,220.62

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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.