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Finding the Fourth Proportional to 6,578.56, 9,079.44 and 4,223.20

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Solution

The fourth proportional to 6,578.56, 9,079.44 and 4,223.20 is: 5,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.56 : 9,079.44 = 4,223.20 : x
  2. Step 2: Convert to fraction form
    6,578.56/9,079.44 = 4,223.20/x
  3. Step 3: Cross multiply
    6,578.56x = 9,079.44 × 4,223.20
  4. Step 4: Simplify right side
    6,578.56x = 38,344,291.01
  5. Step 5: Solve for x
    x = 38,344,291.01/6,578.56
  6. Step 6: Final answer
    x = 5,828.68

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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.