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Finding the Fourth Proportional to 4,661.58, 6,986.70 and 4,169.52

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Solution

The fourth proportional to 4,661.58, 6,986.70 and 4,169.52 is: 6,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.58 : 6,986.70 = 4,169.52 : x
  2. Step 2: Convert to fraction form
    4,661.58/6,986.70 = 4,169.52/x
  3. Step 3: Cross multiply
    4,661.58x = 6,986.70 × 4,169.52
  4. Step 4: Simplify right side
    4,661.58x = 29,131,185.38
  5. Step 5: Solve for x
    x = 29,131,185.38/4,661.58
  6. Step 6: Final answer
    x = 6,249.21

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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.