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Finding the Fourth Proportional to 5,661.36, 8,493.52 and 1,765.84

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Solution

The fourth proportional to 5,661.36, 8,493.52 and 1,765.84 is: 2,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.36 : 8,493.52 = 1,765.84 : x
  2. Step 2: Convert to fraction form
    5,661.36/8,493.52 = 1,765.84/x
  3. Step 3: Cross multiply
    5,661.36x = 8,493.52 × 1,765.84
  4. Step 4: Simplify right side
    5,661.36x = 14,998,197.36
  5. Step 5: Solve for x
    x = 14,998,197.36/5,661.36
  6. Step 6: Final answer
    x = 2,649.22

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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.