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Finding the Fourth Proportional to 6,508.46, 9,762.68 and 3,182.33

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Solution

The fourth proportional to 6,508.46, 9,762.68 and 3,182.33 is: 4,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.46 : 9,762.68 = 3,182.33 : x
  2. Step 2: Convert to fraction form
    6,508.46/9,762.68 = 3,182.33/x
  3. Step 3: Cross multiply
    6,508.46x = 9,762.68 × 3,182.33
  4. Step 4: Simplify right side
    6,508.46x = 31,068,101.81
  5. Step 5: Solve for x
    x = 31,068,101.81/6,508.46
  6. Step 6: Final answer
    x = 4,773.49

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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.