Home / 10,098-13,935.24-5,907.06

Finding the Fourth Proportional to 10,098, 13,935.24 and 5,907.06

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Solution

The fourth proportional to 10,098, 13,935.24 and 5,907.06 is: 8,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 13,935.24 = 5,907.06 : x
  2. Step 2: Convert to fraction form
    10,098/13,935.24 = 5,907.06/x
  3. Step 3: Cross multiply
    10,098x = 13,935.24 × 5,907.06
  4. Step 4: Simplify right side
    10,098x = 82,316,298.79
  5. Step 5: Solve for x
    x = 82,316,298.79/10,098
  6. Step 6: Final answer
    x = 8,151.74

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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.