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Finding the Fourth Proportional to 6,346.92, 9,526.02 and 3,019.27

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Solution

The fourth proportional to 6,346.92, 9,526.02 and 3,019.27 is: 4,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.92 : 9,526.02 = 3,019.27 : x
  2. Step 2: Convert to fraction form
    6,346.92/9,526.02 = 3,019.27/x
  3. Step 3: Cross multiply
    6,346.92x = 9,526.02 × 3,019.27
  4. Step 4: Simplify right side
    6,346.92x = 28,761,626.41
  5. Step 5: Solve for x
    x = 28,761,626.41/6,346.92
  6. Step 6: Final answer
    x = 4,531.59

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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.