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Finding the Fourth Proportional to 6,494.96, 9,743.88 and 3,030.32

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Solution

The fourth proportional to 6,494.96, 9,743.88 and 3,030.32 is: 4,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.96 : 9,743.88 = 3,030.32 : x
  2. Step 2: Convert to fraction form
    6,494.96/9,743.88 = 3,030.32/x
  3. Step 3: Cross multiply
    6,494.96x = 9,743.88 × 3,030.32
  4. Step 4: Simplify right side
    6,494.96x = 29,527,010.57
  5. Step 5: Solve for x
    x = 29,527,010.57/6,494.96
  6. Step 6: Final answer
    x = 4,546.15

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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.