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Finding the Fourth Proportional to 6,545, 9,819.10 and 2,441

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Solution

The fourth proportional to 6,545, 9,819.10 and 2,441 is: 3,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 9,819.10 = 2,441 : x
  2. Step 2: Convert to fraction form
    6,545/9,819.10 = 2,441/x
  3. Step 3: Cross multiply
    6,545x = 9,819.10 × 2,441
  4. Step 4: Simplify right side
    6,545x = 23,968,423.10
  5. Step 5: Solve for x
    x = 23,968,423.10/6,545
  6. Step 6: Final answer
    x = 3,662.10

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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.