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Finding the Fourth Proportional to 16,627.84, 24,935.30 and 6,494.98

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Solution

The fourth proportional to 16,627.84, 24,935.30 and 6,494.98 is: 9,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.84 : 24,935.30 = 6,494.98 : x
  2. Step 2: Convert to fraction form
    16,627.84/24,935.30 = 6,494.98/x
  3. Step 3: Cross multiply
    16,627.84x = 24,935.30 × 6,494.98
  4. Step 4: Simplify right side
    16,627.84x = 161,954,274.79
  5. Step 5: Solve for x
    x = 161,954,274.79/16,627.84
  6. Step 6: Final answer
    x = 9,739.95

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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.