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Finding the Fourth Proportional to 4,632.06, 6,948.11 and 1,169.31

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Solution

The fourth proportional to 4,632.06, 6,948.11 and 1,169.31 is: 1,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.06 : 6,948.11 = 1,169.31 : x
  2. Step 2: Convert to fraction form
    4,632.06/6,948.11 = 1,169.31/x
  3. Step 3: Cross multiply
    4,632.06x = 6,948.11 × 1,169.31
  4. Step 4: Simplify right side
    4,632.06x = 8,124,494.50
  5. Step 5: Solve for x
    x = 8,124,494.50/4,632.06
  6. Step 6: Final answer
    x = 1,753.97

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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.