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Finding the Fourth Proportional to 6,564.45, 9,849.53 and 3,443.70

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Solution

The fourth proportional to 6,564.45, 9,849.53 and 3,443.70 is: 5,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.45 : 9,849.53 = 3,443.70 : x
  2. Step 2: Convert to fraction form
    6,564.45/9,849.53 = 3,443.70/x
  3. Step 3: Cross multiply
    6,564.45x = 9,849.53 × 3,443.70
  4. Step 4: Simplify right side
    6,564.45x = 33,918,819.73
  5. Step 5: Solve for x
    x = 33,918,819.73/6,564.45
  6. Step 6: Final answer
    x = 5,167.05

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1.5x scale

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.