Home / 10,107.36-13,932-6,743.52

Finding the Fourth Proportional to 10,107.36, 13,932 and 6,743.52

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Solution

The fourth proportional to 10,107.36, 13,932 and 6,743.52 is: 9,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.36 : 13,932 = 6,743.52 : x
  2. Step 2: Convert to fraction form
    10,107.36/13,932 = 6,743.52/x
  3. Step 3: Cross multiply
    10,107.36x = 13,932 × 6,743.52
  4. Step 4: Simplify right side
    10,107.36x = 93,950,720.64
  5. Step 5: Solve for x
    x = 93,950,720.64/10,107.36
  6. Step 6: Final answer
    x = 9,295.28

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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.