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Finding the Fourth Proportional to 6,508.50, 9,762.39 and 1,828.83

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Solution

The fourth proportional to 6,508.50, 9,762.39 and 1,828.83 is: 2,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.50 : 9,762.39 = 1,828.83 : x
  2. Step 2: Convert to fraction form
    6,508.50/9,762.39 = 1,828.83/x
  3. Step 3: Cross multiply
    6,508.50x = 9,762.39 × 1,828.83
  4. Step 4: Simplify right side
    6,508.50x = 17,853,751.70
  5. Step 5: Solve for x
    x = 17,853,751.70/6,508.50
  6. Step 6: Final answer
    x = 2,743.14

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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.