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Finding the Fourth Proportional to 24,978.45, 37,466.79 and 6,258.64

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Solution

The fourth proportional to 24,978.45, 37,466.79 and 6,258.64 is: 9,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.45 : 37,466.79 = 6,258.64 : x
  2. Step 2: Convert to fraction form
    24,978.45/37,466.79 = 6,258.64/x
  3. Step 3: Cross multiply
    24,978.45x = 37,466.79 × 6,258.64
  4. Step 4: Simplify right side
    24,978.45x = 234,491,150.57
  5. Step 5: Solve for x
    x = 234,491,150.57/24,978.45
  6. Step 6: Final answer
    x = 9,387.74

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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.