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Finding the Fourth Proportional to 10,201.14, 14,079.42 and 7,679.41

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Solution

The fourth proportional to 10,201.14, 14,079.42 and 7,679.41 is: 10,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.14 : 14,079.42 = 7,679.41 : x
  2. Step 2: Convert to fraction form
    10,201.14/14,079.42 = 7,679.41/x
  3. Step 3: Cross multiply
    10,201.14x = 14,079.42 × 7,679.41
  4. Step 4: Simplify right side
    10,201.14x = 108,121,603.54
  5. Step 5: Solve for x
    x = 108,121,603.54/10,201.14
  6. Step 6: Final answer
    x = 10,598.97

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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.