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Finding the Fourth Proportional to 5,643.66, 8,473.71 and 4,167.44

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Solution

The fourth proportional to 5,643.66, 8,473.71 and 4,167.44 is: 6,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.66 : 8,473.71 = 4,167.44 : x
  2. Step 2: Convert to fraction form
    5,643.66/8,473.71 = 4,167.44/x
  3. Step 3: Cross multiply
    5,643.66x = 8,473.71 × 4,167.44
  4. Step 4: Simplify right side
    5,643.66x = 35,313,683.04
  5. Step 5: Solve for x
    x = 35,313,683.04/5,643.66
  6. Step 6: Final answer
    x = 6,257.23

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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.