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Finding the Fourth Proportional to 16,486.57, 22,750.50 and 9,772.84

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Solution

The fourth proportional to 16,486.57, 22,750.50 and 9,772.84 is: 13,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.57 : 22,750.50 = 9,772.84 : x
  2. Step 2: Convert to fraction form
    16,486.57/22,750.50 = 9,772.84/x
  3. Step 3: Cross multiply
    16,486.57x = 22,750.50 × 9,772.84
  4. Step 4: Simplify right side
    16,486.57x = 222,336,996.42
  5. Step 5: Solve for x
    x = 222,336,996.42/16,486.57
  6. Step 6: Final answer
    x = 13,485.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.