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Finding the Fourth Proportional to 4,856, 7,273.34 and 4,013.53

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Solution

The fourth proportional to 4,856, 7,273.34 and 4,013.53 is: 6,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856 : 7,273.34 = 4,013.53 : x
  2. Step 2: Convert to fraction form
    4,856/7,273.34 = 4,013.53/x
  3. Step 3: Cross multiply
    4,856x = 7,273.34 × 4,013.53
  4. Step 4: Simplify right side
    4,856x = 29,191,711.86
  5. Step 5: Solve for x
    x = 29,191,711.86/4,856
  6. Step 6: Final answer
    x = 6,011.47

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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.