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Finding the Fourth Proportional to 10,562.88, 15,837.64 and 8,996.75

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Solution

The fourth proportional to 10,562.88, 15,837.64 and 8,996.75 is: 13,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.88 : 15,837.64 = 8,996.75 : x
  2. Step 2: Convert to fraction form
    10,562.88/15,837.64 = 8,996.75/x
  3. Step 3: Cross multiply
    10,562.88x = 15,837.64 × 8,996.75
  4. Step 4: Simplify right side
    10,562.88x = 142,487,163.50
  5. Step 5: Solve for x
    x = 142,487,163.50/10,562.88
  6. Step 6: Final answer
    x = 13,489.42

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1.5x scale

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.