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Finding the Fourth Proportional to 9,560.56, 14,341.56 and 2,635

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Solution

The fourth proportional to 9,560.56, 14,341.56 and 2,635 is: 3,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.56 : 14,341.56 = 2,635 : x
  2. Step 2: Convert to fraction form
    9,560.56/14,341.56 = 2,635/x
  3. Step 3: Cross multiply
    9,560.56x = 14,341.56 × 2,635
  4. Step 4: Simplify right side
    9,560.56x = 37,790,010.60
  5. Step 5: Solve for x
    x = 37,790,010.60/9,560.56
  6. Step 6: Final answer
    x = 3,952.70

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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.