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Finding the Fourth Proportional to 6,483.18, 9,722.34 and 3,018

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Solution

The fourth proportional to 6,483.18, 9,722.34 and 3,018 is: 4,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.18 : 9,722.34 = 3,018 : x
  2. Step 2: Convert to fraction form
    6,483.18/9,722.34 = 3,018/x
  3. Step 3: Cross multiply
    6,483.18x = 9,722.34 × 3,018
  4. Step 4: Simplify right side
    6,483.18x = 29,342,022.12
  5. Step 5: Solve for x
    x = 29,342,022.12/6,483.18
  6. Step 6: Final answer
    x = 4,525.87

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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.