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Finding the Fourth Proportional to 6,261.86, 8,641.42 and 3,745.46

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Solution

The fourth proportional to 6,261.86, 8,641.42 and 3,745.46 is: 5,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.86 : 8,641.42 = 3,745.46 : x
  2. Step 2: Convert to fraction form
    6,261.86/8,641.42 = 3,745.46/x
  3. Step 3: Cross multiply
    6,261.86x = 8,641.42 × 3,745.46
  4. Step 4: Simplify right side
    6,261.86x = 32,366,092.95
  5. Step 5: Solve for x
    x = 32,366,092.95/6,261.86
  6. Step 6: Final answer
    x = 5,168.77

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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.