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Finding the Fourth Proportional to 6,998, 10,498.62 and 2,381

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Solution

The fourth proportional to 6,998, 10,498.62 and 2,381 is: 3,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 10,498.62 = 2,381 : x
  2. Step 2: Convert to fraction form
    6,998/10,498.62 = 2,381/x
  3. Step 3: Cross multiply
    6,998x = 10,498.62 × 2,381
  4. Step 4: Simplify right side
    6,998x = 24,997,214.22
  5. Step 5: Solve for x
    x = 24,997,214.22/6,998
  6. Step 6: Final answer
    x = 3,572.05

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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.