Home / 10,634.82-15,934-7,509.23

Finding the Fourth Proportional to 10,634.82, 15,934 and 7,509.23

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Solution

The fourth proportional to 10,634.82, 15,934 and 7,509.23 is: 11,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.82 : 15,934 = 7,509.23 : x
  2. Step 2: Convert to fraction form
    10,634.82/15,934 = 7,509.23/x
  3. Step 3: Cross multiply
    10,634.82x = 15,934 × 7,509.23
  4. Step 4: Simplify right side
    10,634.82x = 119,652,070.82
  5. Step 5: Solve for x
    x = 119,652,070.82/10,634.82
  6. Step 6: Final answer
    x = 11,250.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.