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Finding the Fourth Proportional to 6,684.36, 10,030 and 2,989.14

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Solution

The fourth proportional to 6,684.36, 10,030 and 2,989.14 is: 4,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.36 : 10,030 = 2,989.14 : x
  2. Step 2: Convert to fraction form
    6,684.36/10,030 = 2,989.14/x
  3. Step 3: Cross multiply
    6,684.36x = 10,030 × 2,989.14
  4. Step 4: Simplify right side
    6,684.36x = 29,981,074.20
  5. Step 5: Solve for x
    x = 29,981,074.20/6,684.36
  6. Step 6: Final answer
    x = 4,485.26

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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.