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Finding the Fourth Proportional to 7,206.70, 10,808.46 and 2,276.68

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Solution

The fourth proportional to 7,206.70, 10,808.46 and 2,276.68 is: 3,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.70 : 10,808.46 = 2,276.68 : x
  2. Step 2: Convert to fraction form
    7,206.70/10,808.46 = 2,276.68/x
  3. Step 3: Cross multiply
    7,206.70x = 10,808.46 × 2,276.68
  4. Step 4: Simplify right side
    7,206.70x = 24,607,404.71
  5. Step 5: Solve for x
    x = 24,607,404.71/7,206.70
  6. Step 6: Final answer
    x = 3,414.52

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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.