Home / 6,524-9,785.24-2,140.36

Finding the Fourth Proportional to 6,524, 9,785.24 and 2,140.36

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Solution

The fourth proportional to 6,524, 9,785.24 and 2,140.36 is: 3,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524 : 9,785.24 = 2,140.36 : x
  2. Step 2: Convert to fraction form
    6,524/9,785.24 = 2,140.36/x
  3. Step 3: Cross multiply
    6,524x = 9,785.24 × 2,140.36
  4. Step 4: Simplify right side
    6,524x = 20,943,936.29
  5. Step 5: Solve for x
    x = 20,943,936.29/6,524
  6. Step 6: Final answer
    x = 3,210.29

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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.