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Finding the Fourth Proportional to 5,473.71, 8,210.97 and 1,578.42

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Solution

The fourth proportional to 5,473.71, 8,210.97 and 1,578.42 is: 2,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.71 : 8,210.97 = 1,578.42 : x
  2. Step 2: Convert to fraction form
    5,473.71/8,210.97 = 1,578.42/x
  3. Step 3: Cross multiply
    5,473.71x = 8,210.97 × 1,578.42
  4. Step 4: Simplify right side
    5,473.71x = 12,960,359.27
  5. Step 5: Solve for x
    x = 12,960,359.27/5,473.71
  6. Step 6: Final answer
    x = 2,367.75

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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.