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Finding the Fourth Proportional to 9,194.88, 13,793.28 and 5,299.20

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Solution

The fourth proportional to 9,194.88, 13,793.28 and 5,299.20 is: 7,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.88 : 13,793.28 = 5,299.20 : x
  2. Step 2: Convert to fraction form
    9,194.88/13,793.28 = 5,299.20/x
  3. Step 3: Cross multiply
    9,194.88x = 13,793.28 × 5,299.20
  4. Step 4: Simplify right side
    9,194.88x = 73,093,349.38
  5. Step 5: Solve for x
    x = 73,093,349.38/9,194.88
  6. Step 6: Final answer
    x = 7,949.35

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.