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Finding the Fourth Proportional to 7,023.76, 10,532.10 and 2,342.10

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Solution

The fourth proportional to 7,023.76, 10,532.10 and 2,342.10 is: 3,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.76 : 10,532.10 = 2,342.10 : x
  2. Step 2: Convert to fraction form
    7,023.76/10,532.10 = 2,342.10/x
  3. Step 3: Cross multiply
    7,023.76x = 10,532.10 × 2,342.10
  4. Step 4: Simplify right side
    7,023.76x = 24,667,231.41
  5. Step 5: Solve for x
    x = 24,667,231.41/7,023.76
  6. Step 6: Final answer
    x = 3,511.97

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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.