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Finding the Fourth Proportional to 7,213.74, 10,814.84 and 4,844.30

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Solution

The fourth proportional to 7,213.74, 10,814.84 and 4,844.30 is: 7,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.74 : 10,814.84 = 4,844.30 : x
  2. Step 2: Convert to fraction form
    7,213.74/10,814.84 = 4,844.30/x
  3. Step 3: Cross multiply
    7,213.74x = 10,814.84 × 4,844.30
  4. Step 4: Simplify right side
    7,213.74x = 52,390,251.12
  5. Step 5: Solve for x
    x = 52,390,251.12/7,213.74
  6. Step 6: Final answer
    x = 7,262.56

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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.