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Finding the Fourth Proportional to 9,297.92, 12,856.39 and 9,147.71

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Solution

The fourth proportional to 9,297.92, 12,856.39 and 9,147.71 is: 12,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.92 : 12,856.39 = 9,147.71 : x
  2. Step 2: Convert to fraction form
    9,297.92/12,856.39 = 9,147.71/x
  3. Step 3: Cross multiply
    9,297.92x = 12,856.39 × 9,147.71
  4. Step 4: Simplify right side
    9,297.92x = 117,606,527.37
  5. Step 5: Solve for x
    x = 117,606,527.37/9,297.92
  6. Step 6: Final answer
    x = 12,648.69

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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.