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Finding the Fourth Proportional to 6,958.76, 10,432.79 and 2,275.93

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Solution

The fourth proportional to 6,958.76, 10,432.79 and 2,275.93 is: 3,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.76 : 10,432.79 = 2,275.93 : x
  2. Step 2: Convert to fraction form
    6,958.76/10,432.79 = 2,275.93/x
  3. Step 3: Cross multiply
    6,958.76x = 10,432.79 × 2,275.93
  4. Step 4: Simplify right side
    6,958.76x = 23,744,236.20
  5. Step 5: Solve for x
    x = 23,744,236.20/6,958.76
  6. Step 6: Final answer
    x = 3,412.14

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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.