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Finding the Fourth Proportional to 8,114.42, 11,197.86 and 4,388.42

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Solution

The fourth proportional to 8,114.42, 11,197.86 and 4,388.42 is: 6,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.42 : 11,197.86 = 4,388.42 : x
  2. Step 2: Convert to fraction form
    8,114.42/11,197.86 = 4,388.42/x
  3. Step 3: Cross multiply
    8,114.42x = 11,197.86 × 4,388.42
  4. Step 4: Simplify right side
    8,114.42x = 49,140,856.79
  5. Step 5: Solve for x
    x = 49,140,856.79/8,114.42
  6. Step 6: Final answer
    x = 6,056.00

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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.