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Finding the Fourth Proportional to 5,612.76, 7,745.49 and 3,094.74

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Solution

The fourth proportional to 5,612.76, 7,745.49 and 3,094.74 is: 4,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.76 : 7,745.49 = 3,094.74 : x
  2. Step 2: Convert to fraction form
    5,612.76/7,745.49 = 3,094.74/x
  3. Step 3: Cross multiply
    5,612.76x = 7,745.49 × 3,094.74
  4. Step 4: Simplify right side
    5,612.76x = 23,970,277.72
  5. Step 5: Solve for x
    x = 23,970,277.72/5,612.76
  6. Step 6: Final answer
    x = 4,270.68

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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.