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Finding the Fourth Proportional to 24,746.44, 37,116.68 and 6,978.44

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Solution

The fourth proportional to 24,746.44, 37,116.68 and 6,978.44 is: 10,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.44 : 37,116.68 = 6,978.44 : x
  2. Step 2: Convert to fraction form
    24,746.44/37,116.68 = 6,978.44/x
  3. Step 3: Cross multiply
    24,746.44x = 37,116.68 × 6,978.44
  4. Step 4: Simplify right side
    24,746.44x = 259,016,524.38
  5. Step 5: Solve for x
    x = 259,016,524.38/24,746.44
  6. Step 6: Final answer
    x = 10,466.82

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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.