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Finding the Fourth Proportional to 6,148.75, 9,224.49 and 1,765.87

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Solution

The fourth proportional to 6,148.75, 9,224.49 and 1,765.87 is: 2,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.75 : 9,224.49 = 1,765.87 : x
  2. Step 2: Convert to fraction form
    6,148.75/9,224.49 = 1,765.87/x
  3. Step 3: Cross multiply
    6,148.75x = 9,224.49 × 1,765.87
  4. Step 4: Simplify right side
    6,148.75x = 16,289,195.20
  5. Step 5: Solve for x
    x = 16,289,195.20/6,148.75
  6. Step 6: Final answer
    x = 2,649.19

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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.