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Finding the Fourth Proportional to 16,571.15, 24,856.70 and 7,806.74

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Solution

The fourth proportional to 16,571.15, 24,856.70 and 7,806.74 is: 11,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.15 : 24,856.70 = 7,806.74 : x
  2. Step 2: Convert to fraction form
    16,571.15/24,856.70 = 7,806.74/x
  3. Step 3: Cross multiply
    16,571.15x = 24,856.70 × 7,806.74
  4. Step 4: Simplify right side
    16,571.15x = 194,049,794.16
  5. Step 5: Solve for x
    x = 194,049,794.16/16,571.15
  6. Step 6: Final answer
    x = 11,710.10

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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.