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Finding the Fourth Proportional to 10,750, 14,836.62 and 6,560.68

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Solution

The fourth proportional to 10,750, 14,836.62 and 6,560.68 is: 9,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750 : 14,836.62 = 6,560.68 : x
  2. Step 2: Convert to fraction form
    10,750/14,836.62 = 6,560.68/x
  3. Step 3: Cross multiply
    10,750x = 14,836.62 × 6,560.68
  4. Step 4: Simplify right side
    10,750x = 97,338,316.10
  5. Step 5: Solve for x
    x = 97,338,316.10/10,750
  6. Step 6: Final answer
    x = 9,054.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.