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Finding the Fourth Proportional to 24,797.25, 37,197.29 and 7,931.74

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Solution

The fourth proportional to 24,797.25, 37,197.29 and 7,931.74 is: 11,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.25 : 37,197.29 = 7,931.74 : x
  2. Step 2: Convert to fraction form
    24,797.25/37,197.29 = 7,931.74/x
  3. Step 3: Cross multiply
    24,797.25x = 37,197.29 × 7,931.74
  4. Step 4: Simplify right side
    24,797.25x = 295,039,359.31
  5. Step 5: Solve for x
    x = 295,039,359.31/24,797.25
  6. Step 6: Final answer
    x = 11,898.07

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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.