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Finding the Fourth Proportional to 6,530.76, 9,794.07 and 2,147.04

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Solution

The fourth proportional to 6,530.76, 9,794.07 and 2,147.04 is: 3,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.76 : 9,794.07 = 2,147.04 : x
  2. Step 2: Convert to fraction form
    6,530.76/9,794.07 = 2,147.04/x
  3. Step 3: Cross multiply
    6,530.76x = 9,794.07 × 2,147.04
  4. Step 4: Simplify right side
    6,530.76x = 21,028,260.05
  5. Step 5: Solve for x
    x = 21,028,260.05/6,530.76
  6. Step 6: Final answer
    x = 3,219.88

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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.