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Finding the Fourth Proportional to 16,091.49, 24,129 and 6,728.95

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Solution

The fourth proportional to 16,091.49, 24,129 and 6,728.95 is: 10,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.49 : 24,129 = 6,728.95 : x
  2. Step 2: Convert to fraction form
    16,091.49/24,129 = 6,728.95/x
  3. Step 3: Cross multiply
    16,091.49x = 24,129 × 6,728.95
  4. Step 4: Simplify right side
    16,091.49x = 162,362,834.55
  5. Step 5: Solve for x
    x = 162,362,834.55/16,091.49
  6. Step 6: Final answer
    x = 10,089.98

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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.