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Finding the Fourth Proportional to 6,970.49, 10,455.22 and 2,290.44

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Solution

The fourth proportional to 6,970.49, 10,455.22 and 2,290.44 is: 3,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.49 : 10,455.22 = 2,290.44 : x
  2. Step 2: Convert to fraction form
    6,970.49/10,455.22 = 2,290.44/x
  3. Step 3: Cross multiply
    6,970.49x = 10,455.22 × 2,290.44
  4. Step 4: Simplify right side
    6,970.49x = 23,947,042.64
  5. Step 5: Solve for x
    x = 23,947,042.64/6,970.49
  6. Step 6: Final answer
    x = 3,435.49

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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.