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Finding the Fourth Proportional to 6,502.86, 8,975.16 and 3,850.38

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Solution

The fourth proportional to 6,502.86, 8,975.16 and 3,850.38 is: 5,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.86 : 8,975.16 = 3,850.38 : x
  2. Step 2: Convert to fraction form
    6,502.86/8,975.16 = 3,850.38/x
  3. Step 3: Cross multiply
    6,502.86x = 8,975.16 × 3,850.38
  4. Step 4: Simplify right side
    6,502.86x = 34,557,776.56
  5. Step 5: Solve for x
    x = 34,557,776.56/6,502.86
  6. Step 6: Final answer
    x = 5,314.24

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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.