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Finding the Fourth Proportional to 6,161.87, 8,506.52 and 3,805.38

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Solution

The fourth proportional to 6,161.87, 8,506.52 and 3,805.38 is: 5,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.87 : 8,506.52 = 3,805.38 : x
  2. Step 2: Convert to fraction form
    6,161.87/8,506.52 = 3,805.38/x
  3. Step 3: Cross multiply
    6,161.87x = 8,506.52 × 3,805.38
  4. Step 4: Simplify right side
    6,161.87x = 32,370,536.32
  5. Step 5: Solve for x
    x = 32,370,536.32/6,161.87
  6. Step 6: Final answer
    x = 5,253.36

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.