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Finding the Fourth Proportional to 9,575.52, 14,363.26 and 2,650

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Solution

The fourth proportional to 9,575.52, 14,363.26 and 2,650 is: 3,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.52 : 14,363.26 = 2,650 : x
  2. Step 2: Convert to fraction form
    9,575.52/14,363.26 = 2,650/x
  3. Step 3: Cross multiply
    9,575.52x = 14,363.26 × 2,650
  4. Step 4: Simplify right side
    9,575.52x = 38,062,639
  5. Step 5: Solve for x
    x = 38,062,639/9,575.52
  6. Step 6: Final answer
    x = 3,974.99

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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.