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Finding the Fourth Proportional to 6,165.31, 9,250.99 and 3,824.71

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Solution

The fourth proportional to 6,165.31, 9,250.99 and 3,824.71 is: 5,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.31 : 9,250.99 = 3,824.71 : x
  2. Step 2: Convert to fraction form
    6,165.31/9,250.99 = 3,824.71/x
  3. Step 3: Cross multiply
    6,165.31x = 9,250.99 × 3,824.71
  4. Step 4: Simplify right side
    6,165.31x = 35,382,307.71
  5. Step 5: Solve for x
    x = 35,382,307.71/6,165.31
  6. Step 6: Final answer
    x = 5,738.94

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1.5x scale

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.