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Finding the Fourth Proportional to 5,646.17, 8,469.43 and 4,819.23

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Solution

The fourth proportional to 5,646.17, 8,469.43 and 4,819.23 is: 7,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.17 : 8,469.43 = 4,819.23 : x
  2. Step 2: Convert to fraction form
    5,646.17/8,469.43 = 4,819.23/x
  3. Step 3: Cross multiply
    5,646.17x = 8,469.43 × 4,819.23
  4. Step 4: Simplify right side
    5,646.17x = 40,816,119.09
  5. Step 5: Solve for x
    x = 40,816,119.09/5,646.17
  6. Step 6: Final answer
    x = 7,228.99

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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.