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Finding the Fourth Proportional to 9,775.50, 14,665.68 and 2,850

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Solution

The fourth proportional to 9,775.50, 14,665.68 and 2,850 is: 4,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.50 : 14,665.68 = 2,850 : x
  2. Step 2: Convert to fraction form
    9,775.50/14,665.68 = 2,850/x
  3. Step 3: Cross multiply
    9,775.50x = 14,665.68 × 2,850
  4. Step 4: Simplify right side
    9,775.50x = 41,797,188
  5. Step 5: Solve for x
    x = 41,797,188/9,775.50
  6. Step 6: Final answer
    x = 4,275.71

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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.