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Finding the Fourth Proportional to 6,049.78, 8,352.16 and 4,032.65

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Solution

The fourth proportional to 6,049.78, 8,352.16 and 4,032.65 is: 5,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.78 : 8,352.16 = 4,032.65 : x
  2. Step 2: Convert to fraction form
    6,049.78/8,352.16 = 4,032.65/x
  3. Step 3: Cross multiply
    6,049.78x = 8,352.16 × 4,032.65
  4. Step 4: Simplify right side
    6,049.78x = 33,681,338.02
  5. Step 5: Solve for x
    x = 33,681,338.02/6,049.78
  6. Step 6: Final answer
    x = 5,567.37

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1.5x scale

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.