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Finding the Fourth Proportional to 5,165.49, 7,747.02 and 1,833.46

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Solution

The fourth proportional to 5,165.49, 7,747.02 and 1,833.46 is: 2,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.49 : 7,747.02 = 1,833.46 : x
  2. Step 2: Convert to fraction form
    5,165.49/7,747.02 = 1,833.46/x
  3. Step 3: Cross multiply
    5,165.49x = 7,747.02 × 1,833.46
  4. Step 4: Simplify right side
    5,165.49x = 14,203,851.29
  5. Step 5: Solve for x
    x = 14,203,851.29/5,165.49
  6. Step 6: Final answer
    x = 2,749.76

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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.