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Finding the Fourth Proportional to 8,164.25, 11,266.76 and 4,438.25

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Solution

The fourth proportional to 8,164.25, 11,266.76 and 4,438.25 is: 6,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.25 : 11,266.76 = 4,438.25 : x
  2. Step 2: Convert to fraction form
    8,164.25/11,266.76 = 4,438.25/x
  3. Step 3: Cross multiply
    8,164.25x = 11,266.76 × 4,438.25
  4. Step 4: Simplify right side
    8,164.25x = 50,004,697.57
  5. Step 5: Solve for x
    x = 50,004,697.57/8,164.25
  6. Step 6: Final answer
    x = 6,124.84

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Half 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.