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Finding the Fourth Proportional to 10,035.38, 13,847.70 and 5,558

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Solution

The fourth proportional to 10,035.38, 13,847.70 and 5,558 is: 7,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.38 : 13,847.70 = 5,558 : x
  2. Step 2: Convert to fraction form
    10,035.38/13,847.70 = 5,558/x
  3. Step 3: Cross multiply
    10,035.38x = 13,847.70 × 5,558
  4. Step 4: Simplify right side
    10,035.38x = 76,965,488.81
  5. Step 5: Solve for x
    x = 76,965,488.81/10,035.38
  6. Step 6: Final answer
    x = 7,669.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.