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Finding the Fourth Proportional to 10,493.63, 15,742.16 and 3,098.84

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Solution

The fourth proportional to 10,493.63, 15,742.16 and 3,098.84 is: 4,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.63 : 15,742.16 = 3,098.84 : x
  2. Step 2: Convert to fraction form
    10,493.63/15,742.16 = 3,098.84/x
  3. Step 3: Cross multiply
    10,493.63x = 15,742.16 × 3,098.84
  4. Step 4: Simplify right side
    10,493.63x = 48,782,411.54
  5. Step 5: Solve for x
    x = 48,782,411.54/10,493.63
  6. Step 6: Final answer
    x = 4,648.76

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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.