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Finding the Fourth Proportional to 6,976.90, 10,466.70 and 2,046.70

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Solution

The fourth proportional to 6,976.90, 10,466.70 and 2,046.70 is: 3,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.90 : 10,466.70 = 2,046.70 : x
  2. Step 2: Convert to fraction form
    6,976.90/10,466.70 = 2,046.70/x
  3. Step 3: Cross multiply
    6,976.90x = 10,466.70 × 2,046.70
  4. Step 4: Simplify right side
    6,976.90x = 21,422,194.89
  5. Step 5: Solve for x
    x = 21,422,194.89/6,976.90
  6. Step 6: Final answer
    x = 3,070.45

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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.