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Finding the Fourth Proportional to 6,863.99, 9,471.87 and 3,880.17

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Solution

The fourth proportional to 6,863.99, 9,471.87 and 3,880.17 is: 5,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.99 : 9,471.87 = 3,880.17 : x
  2. Step 2: Convert to fraction form
    6,863.99/9,471.87 = 3,880.17/x
  3. Step 3: Cross multiply
    6,863.99x = 9,471.87 × 3,880.17
  4. Step 4: Simplify right side
    6,863.99x = 36,752,465.82
  5. Step 5: Solve for x
    x = 36,752,465.82/6,863.99
  6. Step 6: Final answer
    x = 5,354.39

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Half scale
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Double 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.