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Finding the Fourth Proportional to 6,564.84, 9,847.85 and 2,182.34

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Solution

The fourth proportional to 6,564.84, 9,847.85 and 2,182.34 is: 3,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.84 : 9,847.85 = 2,182.34 : x
  2. Step 2: Convert to fraction form
    6,564.84/9,847.85 = 2,182.34/x
  3. Step 3: Cross multiply
    6,564.84x = 9,847.85 × 2,182.34
  4. Step 4: Simplify right side
    6,564.84x = 21,491,296.82
  5. Step 5: Solve for x
    x = 21,491,296.82/6,564.84
  6. Step 6: Final answer
    x = 3,273.70

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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.