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Finding the Fourth Proportional to 6,589.26, 9,868.77 and 4,273.74

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Solution

The fourth proportional to 6,589.26, 9,868.77 and 4,273.74 is: 6,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.26 : 9,868.77 = 4,273.74 : x
  2. Step 2: Convert to fraction form
    6,589.26/9,868.77 = 4,273.74/x
  3. Step 3: Cross multiply
    6,589.26x = 9,868.77 × 4,273.74
  4. Step 4: Simplify right side
    6,589.26x = 42,176,557.10
  5. Step 5: Solve for x
    x = 42,176,557.10/6,589.26
  6. Step 6: Final answer
    x = 6,400.80

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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.