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Finding the Fourth Proportional to 24,796.92, 37,197.72 and 8,157

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Solution

The fourth proportional to 24,796.92, 37,197.72 and 8,157 is: 12,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796.92 : 37,197.72 = 8,157 : x
  2. Step 2: Convert to fraction form
    24,796.92/37,197.72 = 8,157/x
  3. Step 3: Cross multiply
    24,796.92x = 37,197.72 × 8,157
  4. Step 4: Simplify right side
    24,796.92x = 303,421,802.04
  5. Step 5: Solve for x
    x = 303,421,802.04/24,796.92
  6. Step 6: Final answer
    x = 12,236.27

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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.