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Finding the Fourth Proportional to 6,617.75, 9,132.50 and 3,823.25

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Solution

The fourth proportional to 6,617.75, 9,132.50 and 3,823.25 is: 5,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.75 : 9,132.50 = 3,823.25 : x
  2. Step 2: Convert to fraction form
    6,617.75/9,132.50 = 3,823.25/x
  3. Step 3: Cross multiply
    6,617.75x = 9,132.50 × 3,823.25
  4. Step 4: Simplify right side
    6,617.75x = 34,915,811.51
  5. Step 5: Solve for x
    x = 34,915,811.51/6,617.75
  6. Step 6: Final answer
    x = 5,276.09

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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.