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Finding the Fourth Proportional to 24,746.82, 37,120.22 and 7,216.64

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Solution

The fourth proportional to 24,746.82, 37,120.22 and 7,216.64 is: 10,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.82 : 37,120.22 = 7,216.64 : x
  2. Step 2: Convert to fraction form
    24,746.82/37,120.22 = 7,216.64/x
  3. Step 3: Cross multiply
    24,746.82x = 37,120.22 × 7,216.64
  4. Step 4: Simplify right side
    24,746.82x = 267,883,458.43
  5. Step 5: Solve for x
    x = 267,883,458.43/24,746.82
  6. Step 6: Final answer
    x = 10,824.97

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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.