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Finding the Fourth Proportional to 10,761.66, 16,126.68 and 7,647.66

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Solution

The fourth proportional to 10,761.66, 16,126.68 and 7,647.66 is: 11,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.66 : 16,126.68 = 7,647.66 : x
  2. Step 2: Convert to fraction form
    10,761.66/16,126.68 = 7,647.66/x
  3. Step 3: Cross multiply
    10,761.66x = 16,126.68 × 7,647.66
  4. Step 4: Simplify right side
    10,761.66x = 123,331,365.57
  5. Step 5: Solve for x
    x = 123,331,365.57/10,761.66
  6. Step 6: Final answer
    x = 11,460.25

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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.