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Finding the Fourth Proportional to 11,614.73, 16,034.98 and 7,647.38

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Solution

The fourth proportional to 11,614.73, 16,034.98 and 7,647.38 is: 10,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.73 : 16,034.98 = 7,647.38 : x
  2. Step 2: Convert to fraction form
    11,614.73/16,034.98 = 7,647.38/x
  3. Step 3: Cross multiply
    11,614.73x = 16,034.98 × 7,647.38
  4. Step 4: Simplify right side
    11,614.73x = 122,625,486.06
  5. Step 5: Solve for x
    x = 122,625,486.06/11,614.73
  6. Step 6: Final answer
    x = 10,557.75

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1.5x scale

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.