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Finding the Fourth Proportional to 5,069.64, 6,998.22 and 3,578.70

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Solution

The fourth proportional to 5,069.64, 6,998.22 and 3,578.70 is: 4,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.64 : 6,998.22 = 3,578.70 : x
  2. Step 2: Convert to fraction form
    5,069.64/6,998.22 = 3,578.70/x
  3. Step 3: Cross multiply
    5,069.64x = 6,998.22 × 3,578.70
  4. Step 4: Simplify right side
    5,069.64x = 25,044,529.91
  5. Step 5: Solve for x
    x = 25,044,529.91/5,069.64
  6. Step 6: Final answer
    x = 4,940.10

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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.