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Finding the Fourth Proportional to 24,796.31, 37,194.47 and 6,328.31

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Solution

The fourth proportional to 24,796.31, 37,194.47 and 6,328.31 is: 9,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796.31 : 37,194.47 = 6,328.31 : x
  2. Step 2: Convert to fraction form
    24,796.31/37,194.47 = 6,328.31/x
  3. Step 3: Cross multiply
    24,796.31x = 37,194.47 × 6,328.31
  4. Step 4: Simplify right side
    24,796.31x = 235,378,245.25
  5. Step 5: Solve for x
    x = 235,378,245.25/24,796.31
  6. Step 6: Final answer
    x = 9,492.47

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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.