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Finding the Fourth Proportional to 6,216, 9,324.09 and 1,599

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Solution

The fourth proportional to 6,216, 9,324.09 and 1,599 is: 2,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216 : 9,324.09 = 1,599 : x
  2. Step 2: Convert to fraction form
    6,216/9,324.09 = 1,599/x
  3. Step 3: Cross multiply
    6,216x = 9,324.09 × 1,599
  4. Step 4: Simplify right side
    6,216x = 14,909,219.91
  5. Step 5: Solve for x
    x = 14,909,219.91/6,216
  6. Step 6: Final answer
    x = 2,398.52

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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.