Home / 10,098-13,935.42-5,906.16

Finding the Fourth Proportional to 10,098, 13,935.42 and 5,906.16

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Solution

The fourth proportional to 10,098, 13,935.42 and 5,906.16 is: 8,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 13,935.42 = 5,906.16 : x
  2. Step 2: Convert to fraction form
    10,098/13,935.42 = 5,906.16/x
  3. Step 3: Cross multiply
    10,098x = 13,935.42 × 5,906.16
  4. Step 4: Simplify right side
    10,098x = 82,304,820.19
  5. Step 5: Solve for x
    x = 82,304,820.19/10,098
  6. Step 6: Final answer
    x = 8,150.61

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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.