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Finding the Fourth Proportional to 6,144.51, 9,209.54 and 2,850.66

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Solution

The fourth proportional to 6,144.51, 9,209.54 and 2,850.66 is: 4,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.51 : 9,209.54 = 2,850.66 : x
  2. Step 2: Convert to fraction form
    6,144.51/9,209.54 = 2,850.66/x
  3. Step 3: Cross multiply
    6,144.51x = 9,209.54 × 2,850.66
  4. Step 4: Simplify right side
    6,144.51x = 26,253,253.04
  5. Step 5: Solve for x
    x = 26,253,253.04/6,144.51
  6. Step 6: Final answer
    x = 4,272.64

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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.