Home / 6,170-8,513.80-3,932.24

Finding the Fourth Proportional to 6,170, 8,513.80 and 3,932.24

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Solution

The fourth proportional to 6,170, 8,513.80 and 3,932.24 is: 5,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170 : 8,513.80 = 3,932.24 : x
  2. Step 2: Convert to fraction form
    6,170/8,513.80 = 3,932.24/x
  3. Step 3: Cross multiply
    6,170x = 8,513.80 × 3,932.24
  4. Step 4: Simplify right side
    6,170x = 33,478,304.91
  5. Step 5: Solve for x
    x = 33,478,304.91/6,170
  6. Step 6: Final answer
    x = 5,425.98

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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.