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Finding the Fourth Proportional to 6,145.75, 9,218.63 and 2,041.75

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Solution

The fourth proportional to 6,145.75, 9,218.63 and 2,041.75 is: 3,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.75 : 9,218.63 = 2,041.75 : x
  2. Step 2: Convert to fraction form
    6,145.75/9,218.63 = 2,041.75/x
  3. Step 3: Cross multiply
    6,145.75x = 9,218.63 × 2,041.75
  4. Step 4: Simplify right side
    6,145.75x = 18,822,137.80
  5. Step 5: Solve for x
    x = 18,822,137.80/6,145.75
  6. Step 6: Final answer
    x = 3,062.63

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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.