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Finding the Fourth Proportional to 6,913.98, 10,370.91 and 3,214.15

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Solution

The fourth proportional to 6,913.98, 10,370.91 and 3,214.15 is: 4,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.98 : 10,370.91 = 3,214.15 : x
  2. Step 2: Convert to fraction form
    6,913.98/10,370.91 = 3,214.15/x
  3. Step 3: Cross multiply
    6,913.98x = 10,370.91 × 3,214.15
  4. Step 4: Simplify right side
    6,913.98x = 33,333,646.50
  5. Step 5: Solve for x
    x = 33,333,646.50/6,913.98
  6. Step 6: Final answer
    x = 4,821.20

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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.