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Finding the Fourth Proportional to 6,295.25, 9,439.74 and 3,663.63

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Solution

The fourth proportional to 6,295.25, 9,439.74 and 3,663.63 is: 5,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.25 : 9,439.74 = 3,663.63 : x
  2. Step 2: Convert to fraction form
    6,295.25/9,439.74 = 3,663.63/x
  3. Step 3: Cross multiply
    6,295.25x = 9,439.74 × 3,663.63
  4. Step 4: Simplify right side
    6,295.25x = 34,583,714.66
  5. Step 5: Solve for x
    x = 34,583,714.66/6,295.25
  6. Step 6: Final answer
    x = 5,493.62

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1.5x scale

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.