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Finding the Fourth Proportional to 6,696.01, 10,044.24 and 3,184.21

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Solution

The fourth proportional to 6,696.01, 10,044.24 and 3,184.21 is: 4,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.01 : 10,044.24 = 3,184.21 : x
  2. Step 2: Convert to fraction form
    6,696.01/10,044.24 = 3,184.21/x
  3. Step 3: Cross multiply
    6,696.01x = 10,044.24 × 3,184.21
  4. Step 4: Simplify right side
    6,696.01x = 31,982,903.31
  5. Step 5: Solve for x
    x = 31,982,903.31/6,696.01
  6. Step 6: Final answer
    x = 4,776.42

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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.