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Finding the Fourth Proportional to 6,522.67, 9,789.19 and 2,363.87

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Solution

The fourth proportional to 6,522.67, 9,789.19 and 2,363.87 is: 3,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.67 : 9,789.19 = 2,363.87 : x
  2. Step 2: Convert to fraction form
    6,522.67/9,789.19 = 2,363.87/x
  3. Step 3: Cross multiply
    6,522.67x = 9,789.19 × 2,363.87
  4. Step 4: Simplify right side
    6,522.67x = 23,140,317.71
  5. Step 5: Solve for x
    x = 23,140,317.71/6,522.67
  6. Step 6: Final answer
    x = 3,547.68

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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.