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Finding the Fourth Proportional to 7,164.78, 10,746.36 and 2,234

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Solution

The fourth proportional to 7,164.78, 10,746.36 and 2,234 is: 3,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.78 : 10,746.36 = 2,234 : x
  2. Step 2: Convert to fraction form
    7,164.78/10,746.36 = 2,234/x
  3. Step 3: Cross multiply
    7,164.78x = 10,746.36 × 2,234
  4. Step 4: Simplify right side
    7,164.78x = 24,007,368.24
  5. Step 5: Solve for x
    x = 24,007,368.24/7,164.78
  6. Step 6: Final answer
    x = 3,350.75

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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.