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Finding the Fourth Proportional to 4,496.64, 6,737.64 and 3,878.82

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Solution

The fourth proportional to 4,496.64, 6,737.64 and 3,878.82 is: 5,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.64 : 6,737.64 = 3,878.82 : x
  2. Step 2: Convert to fraction form
    4,496.64/6,737.64 = 3,878.82/x
  3. Step 3: Cross multiply
    4,496.64x = 6,737.64 × 3,878.82
  4. Step 4: Simplify right side
    4,496.64x = 26,134,092.78
  5. Step 5: Solve for x
    x = 26,134,092.78/4,496.64
  6. Step 6: Final answer
    x = 5,811.92

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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.