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Finding the Fourth Proportional to 5,473.81, 8,210.67 and 1,578.22

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Solution

The fourth proportional to 5,473.81, 8,210.67 and 1,578.22 is: 2,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.81 : 8,210.67 = 1,578.22 : x
  2. Step 2: Convert to fraction form
    5,473.81/8,210.67 = 1,578.22/x
  3. Step 3: Cross multiply
    5,473.81x = 8,210.67 × 1,578.22
  4. Step 4: Simplify right side
    5,473.81x = 12,958,243.61
  5. Step 5: Solve for x
    x = 12,958,243.61/5,473.81
  6. Step 6: Final answer
    x = 2,367.32

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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.