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Finding the Fourth Proportional to 6,223.74, 8,585.84 and 3,704.42

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Solution

The fourth proportional to 6,223.74, 8,585.84 and 3,704.42 is: 5,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.74 : 8,585.84 = 3,704.42 : x
  2. Step 2: Convert to fraction form
    6,223.74/8,585.84 = 3,704.42/x
  3. Step 3: Cross multiply
    6,223.74x = 8,585.84 × 3,704.42
  4. Step 4: Simplify right side
    6,223.74x = 31,805,557.41
  5. Step 5: Solve for x
    x = 31,805,557.41/6,223.74
  6. Step 6: Final answer
    x = 5,110.36

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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.