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Finding the Fourth Proportional to 6,508.84, 9,763.66 and 1,829.23

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Solution

The fourth proportional to 6,508.84, 9,763.66 and 1,829.23 is: 2,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.84 : 9,763.66 = 1,829.23 : x
  2. Step 2: Convert to fraction form
    6,508.84/9,763.66 = 1,829.23/x
  3. Step 3: Cross multiply
    6,508.84x = 9,763.66 × 1,829.23
  4. Step 4: Simplify right side
    6,508.84x = 17,860,002.29
  5. Step 5: Solve for x
    x = 17,860,002.29/6,508.84
  6. Step 6: Final answer
    x = 2,743.96

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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.