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Finding the Fourth Proportional to 16,254.84, 24,383.43 and 7,941.78

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Solution

The fourth proportional to 16,254.84, 24,383.43 and 7,941.78 is: 11,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.84 : 24,383.43 = 7,941.78 : x
  2. Step 2: Convert to fraction form
    16,254.84/24,383.43 = 7,941.78/x
  3. Step 3: Cross multiply
    16,254.84x = 24,383.43 × 7,941.78
  4. Step 4: Simplify right side
    16,254.84x = 193,647,836.71
  5. Step 5: Solve for x
    x = 193,647,836.71/16,254.84
  6. Step 6: Final answer
    x = 11,913.24

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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.