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Finding the Fourth Proportional to 6,775.84, 9,353.44 and 4,124

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Solution

The fourth proportional to 6,775.84, 9,353.44 and 4,124 is: 5,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.84 : 9,353.44 = 4,124 : x
  2. Step 2: Convert to fraction form
    6,775.84/9,353.44 = 4,124/x
  3. Step 3: Cross multiply
    6,775.84x = 9,353.44 × 4,124
  4. Step 4: Simplify right side
    6,775.84x = 38,573,586.56
  5. Step 5: Solve for x
    x = 38,573,586.56/6,775.84
  6. Step 6: Final answer
    x = 5,692.81

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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.