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Finding the Fourth Proportional to 6,133.79, 9,203.13 and 2,803.61

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Solution

The fourth proportional to 6,133.79, 9,203.13 and 2,803.61 is: 4,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.79 : 9,203.13 = 2,803.61 : x
  2. Step 2: Convert to fraction form
    6,133.79/9,203.13 = 2,803.61/x
  3. Step 3: Cross multiply
    6,133.79x = 9,203.13 × 2,803.61
  4. Step 4: Simplify right side
    6,133.79x = 25,801,987.30
  5. Step 5: Solve for x
    x = 25,801,987.30/6,133.79
  6. Step 6: Final answer
    x = 4,206.53

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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.