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Finding the Fourth Proportional to 7,157.84, 10,736.62 and 2,227.50

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Solution

The fourth proportional to 7,157.84, 10,736.62 and 2,227.50 is: 3,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.84 : 10,736.62 = 2,227.50 : x
  2. Step 2: Convert to fraction form
    7,157.84/10,736.62 = 2,227.50/x
  3. Step 3: Cross multiply
    7,157.84x = 10,736.62 × 2,227.50
  4. Step 4: Simplify right side
    7,157.84x = 23,915,815.48
  5. Step 5: Solve for x
    x = 23,915,815.48/7,157.84
  6. Step 6: Final answer
    x = 3,341.21

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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.