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Finding the Fourth Proportional to 16,562.21, 24,822.72 and 7,778.70

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Solution

The fourth proportional to 16,562.21, 24,822.72 and 7,778.70 is: 11,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.21 : 24,822.72 = 7,778.70 : x
  2. Step 2: Convert to fraction form
    16,562.21/24,822.72 = 7,778.70/x
  3. Step 3: Cross multiply
    16,562.21x = 24,822.72 × 7,778.70
  4. Step 4: Simplify right side
    16,562.21x = 193,088,492.06
  5. Step 5: Solve for x
    x = 193,088,492.06/16,562.21
  6. Step 6: Final answer
    x = 11,658.38

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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.