Home / 6,534-9,797.76-2,151.36

Finding the Fourth Proportional to 6,534, 9,797.76 and 2,151.36

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Solution

The fourth proportional to 6,534, 9,797.76 and 2,151.36 is: 3,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 9,797.76 = 2,151.36 : x
  2. Step 2: Convert to fraction form
    6,534/9,797.76 = 2,151.36/x
  3. Step 3: Cross multiply
    6,534x = 9,797.76 × 2,151.36
  4. Step 4: Simplify right side
    6,534x = 21,078,508.95
  5. Step 5: Solve for x
    x = 21,078,508.95/6,534
  6. Step 6: Final answer
    x = 3,225.97

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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.