Home / 6,540-9,025.76-3,746.08

Finding the Fourth Proportional to 6,540, 9,025.76 and 3,746.08

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Solution

The fourth proportional to 6,540, 9,025.76 and 3,746.08 is: 5,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540 : 9,025.76 = 3,746.08 : x
  2. Step 2: Convert to fraction form
    6,540/9,025.76 = 3,746.08/x
  3. Step 3: Cross multiply
    6,540x = 9,025.76 × 3,746.08
  4. Step 4: Simplify right side
    6,540x = 33,811,219.02
  5. Step 5: Solve for x
    x = 33,811,219.02/6,540
  6. Step 6: Final answer
    x = 5,169.91

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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.