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Finding the Fourth Proportional to 5,661.86, 8,493.21 and 1,766.25

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Solution

The fourth proportional to 5,661.86, 8,493.21 and 1,766.25 is: 2,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.86 : 8,493.21 = 1,766.25 : x
  2. Step 2: Convert to fraction form
    5,661.86/8,493.21 = 1,766.25/x
  3. Step 3: Cross multiply
    5,661.86x = 8,493.21 × 1,766.25
  4. Step 4: Simplify right side
    5,661.86x = 15,001,132.16
  5. Step 5: Solve for x
    x = 15,001,132.16/5,661.86
  6. Step 6: Final answer
    x = 2,649.51

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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.