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Finding the Fourth Proportional to 6,215.34, 9,318.12 and 2,518.50

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Solution

The fourth proportional to 6,215.34, 9,318.12 and 2,518.50 is: 3,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.34 : 9,318.12 = 2,518.50 : x
  2. Step 2: Convert to fraction form
    6,215.34/9,318.12 = 2,518.50/x
  3. Step 3: Cross multiply
    6,215.34x = 9,318.12 × 2,518.50
  4. Step 4: Simplify right side
    6,215.34x = 23,467,685.22
  5. Step 5: Solve for x
    x = 23,467,685.22/6,215.34
  6. Step 6: Final answer
    x = 3,775.77

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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.