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Finding the Fourth Proportional to 4,258.14, 5,867.46 and 4,200.73

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Solution

The fourth proportional to 4,258.14, 5,867.46 and 4,200.73 is: 5,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.14 : 5,867.46 = 4,200.73 : x
  2. Step 2: Convert to fraction form
    4,258.14/5,867.46 = 4,200.73/x
  3. Step 3: Cross multiply
    4,258.14x = 5,867.46 × 4,200.73
  4. Step 4: Simplify right side
    4,258.14x = 24,647,594.24
  5. Step 5: Solve for x
    x = 24,647,594.24/4,258.14
  6. Step 6: Final answer
    x = 5,788.35

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Half scale
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Double scale
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Similar ratio
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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.