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Finding the Fourth Proportional to 6,683.36, 10,025.28 and 3,566.24

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Solution

The fourth proportional to 6,683.36, 10,025.28 and 3,566.24 is: 5,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.36 : 10,025.28 = 3,566.24 : x
  2. Step 2: Convert to fraction form
    6,683.36/10,025.28 = 3,566.24/x
  3. Step 3: Cross multiply
    6,683.36x = 10,025.28 × 3,566.24
  4. Step 4: Simplify right side
    6,683.36x = 35,752,554.55
  5. Step 5: Solve for x
    x = 35,752,554.55/6,683.36
  6. Step 6: Final answer
    x = 5,349.49

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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.