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Finding the Fourth Proportional to 7,638.88, 10,549.92 and 4,846

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Solution

The fourth proportional to 7,638.88, 10,549.92 and 4,846 is: 6,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.88 : 10,549.92 = 4,846 : x
  2. Step 2: Convert to fraction form
    7,638.88/10,549.92 = 4,846/x
  3. Step 3: Cross multiply
    7,638.88x = 10,549.92 × 4,846
  4. Step 4: Simplify right side
    7,638.88x = 51,124,912.32
  5. Step 5: Solve for x
    x = 51,124,912.32/7,638.88
  6. Step 6: Final answer
    x = 6,692.72

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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.