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Finding the Fourth Proportional to 24,797.94, 37,175.03 and 9,204.63

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Solution

The fourth proportional to 24,797.94, 37,175.03 and 9,204.63 is: 13,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.94 : 37,175.03 = 9,204.63 : x
  2. Step 2: Convert to fraction form
    24,797.94/37,175.03 = 9,204.63/x
  3. Step 3: Cross multiply
    24,797.94x = 37,175.03 × 9,204.63
  4. Step 4: Simplify right side
    24,797.94x = 342,182,396.39
  5. Step 5: Solve for x
    x = 342,182,396.39/24,797.94
  6. Step 6: Final answer
    x = 13,798.82

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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.