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Finding the Fourth Proportional to 4,768.38, 7,153.20 and 1,480.86

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Solution

The fourth proportional to 4,768.38, 7,153.20 and 1,480.86 is: 2,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.38 : 7,153.20 = 1,480.86 : x
  2. Step 2: Convert to fraction form
    4,768.38/7,153.20 = 1,480.86/x
  3. Step 3: Cross multiply
    4,768.38x = 7,153.20 × 1,480.86
  4. Step 4: Simplify right side
    4,768.38x = 10,592,887.75
  5. Step 5: Solve for x
    x = 10,592,887.75/4,768.38
  6. Step 6: Final answer
    x = 2,221.49

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