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Finding the Fourth Proportional to 6,844.50, 10,266.75 and 2,227.50

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Solution

The fourth proportional to 6,844.50, 10,266.75 and 2,227.50 is: 3,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.50 : 10,266.75 = 2,227.50 : x
  2. Step 2: Convert to fraction form
    6,844.50/10,266.75 = 2,227.50/x
  3. Step 3: Cross multiply
    6,844.50x = 10,266.75 × 2,227.50
  4. Step 4: Simplify right side
    6,844.50x = 22,869,185.63
  5. Step 5: Solve for x
    x = 22,869,185.63/6,844.50
  6. Step 6: Final answer
    x = 3,341.25

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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.