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Finding the Fourth Proportional to 7,166.59, 10,749.78 and 2,236.29

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Solution

The fourth proportional to 7,166.59, 10,749.78 and 2,236.29 is: 3,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.59 : 10,749.78 = 2,236.29 : x
  2. Step 2: Convert to fraction form
    7,166.59/10,749.78 = 2,236.29/x
  3. Step 3: Cross multiply
    7,166.59x = 10,749.78 × 2,236.29
  4. Step 4: Simplify right side
    7,166.59x = 24,039,625.52
  5. Step 5: Solve for x
    x = 24,039,625.52/7,166.59
  6. Step 6: Final answer
    x = 3,354.40

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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.