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Finding the Fourth Proportional to 10,644.84, 15,954.12 and 4,401

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Solution

The fourth proportional to 10,644.84, 15,954.12 and 4,401 is: 6,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.84 : 15,954.12 = 4,401 : x
  2. Step 2: Convert to fraction form
    10,644.84/15,954.12 = 4,401/x
  3. Step 3: Cross multiply
    10,644.84x = 15,954.12 × 4,401
  4. Step 4: Simplify right side
    10,644.84x = 70,214,082.12
  5. Step 5: Solve for x
    x = 70,214,082.12/10,644.84
  6. Step 6: Final answer
    x = 6,596.07

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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.