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Finding the Fourth Proportional to 12,812.50, 17,684.49 and 7,226.74

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Solution

The fourth proportional to 12,812.50, 17,684.49 and 7,226.74 is: 9,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.50 : 17,684.49 = 7,226.74 : x
  2. Step 2: Convert to fraction form
    12,812.50/17,684.49 = 7,226.74/x
  3. Step 3: Cross multiply
    12,812.50x = 17,684.49 × 7,226.74
  4. Step 4: Simplify right side
    12,812.50x = 127,801,211.26
  5. Step 5: Solve for x
    x = 127,801,211.26/12,812.50
  6. Step 6: Final answer
    x = 9,974.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.