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Finding the Fourth Proportional to 6,144.65, 9,216.06 and 1,761.54

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Solution

The fourth proportional to 6,144.65, 9,216.06 and 1,761.54 is: 2,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.65 : 9,216.06 = 1,761.54 : x
  2. Step 2: Convert to fraction form
    6,144.65/9,216.06 = 1,761.54/x
  3. Step 3: Cross multiply
    6,144.65x = 9,216.06 × 1,761.54
  4. Step 4: Simplify right side
    6,144.65x = 16,234,458.33
  5. Step 5: Solve for x
    x = 16,234,458.33/6,144.65
  6. Step 6: Final answer
    x = 2,642.05

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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.