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Finding the Fourth Proportional to 6,953.50, 10,432.48 and 2,023.44

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Solution

The fourth proportional to 6,953.50, 10,432.48 and 2,023.44 is: 3,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.50 : 10,432.48 = 2,023.44 : x
  2. Step 2: Convert to fraction form
    6,953.50/10,432.48 = 2,023.44/x
  3. Step 3: Cross multiply
    6,953.50x = 10,432.48 × 2,023.44
  4. Step 4: Simplify right side
    6,953.50x = 21,109,494.82
  5. Step 5: Solve for x
    x = 21,109,494.82/6,953.50
  6. Step 6: Final answer
    x = 3,035.81

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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.