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Finding the Fourth Proportional to 6,966.46, 9,626.41 and 5,074.73

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Solution

The fourth proportional to 6,966.46, 9,626.41 and 5,074.73 is: 7,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.46 : 9,626.41 = 5,074.73 : x
  2. Step 2: Convert to fraction form
    6,966.46/9,626.41 = 5,074.73/x
  3. Step 3: Cross multiply
    6,966.46x = 9,626.41 × 5,074.73
  4. Step 4: Simplify right side
    6,966.46x = 48,851,431.62
  5. Step 5: Solve for x
    x = 48,851,431.62/6,966.46
  6. Step 6: Final answer
    x = 7,012.38

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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.