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Finding the Fourth Proportional to 7,160.76, 10,742.58 and 2,230.20

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Solution

The fourth proportional to 7,160.76, 10,742.58 and 2,230.20 is: 3,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.76 : 10,742.58 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    7,160.76/10,742.58 = 2,230.20/x
  3. Step 3: Cross multiply
    7,160.76x = 10,742.58 × 2,230.20
  4. Step 4: Simplify right side
    7,160.76x = 23,958,101.92
  5. Step 5: Solve for x
    x = 23,958,101.92/7,160.76
  6. Step 6: Final answer
    x = 3,345.75

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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.