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Finding the Fourth Proportional to 7,206.60, 10,809.76 and 2,827.12

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Solution

The fourth proportional to 7,206.60, 10,809.76 and 2,827.12 is: 4,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.60 : 10,809.76 = 2,827.12 : x
  2. Step 2: Convert to fraction form
    7,206.60/10,809.76 = 2,827.12/x
  3. Step 3: Cross multiply
    7,206.60x = 10,809.76 × 2,827.12
  4. Step 4: Simplify right side
    7,206.60x = 30,560,488.69
  5. Step 5: Solve for x
    x = 30,560,488.69/7,206.60
  6. Step 6: Final answer
    x = 4,240.63

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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.