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Finding the Fourth Proportional to 16,553.84, 24,795.08 and 7,775.60

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Solution

The fourth proportional to 16,553.84, 24,795.08 and 7,775.60 is: 11,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.84 : 24,795.08 = 7,775.60 : x
  2. Step 2: Convert to fraction form
    16,553.84/24,795.08 = 7,775.60/x
  3. Step 3: Cross multiply
    16,553.84x = 24,795.08 × 7,775.60
  4. Step 4: Simplify right side
    16,553.84x = 192,796,624.05
  5. Step 5: Solve for x
    x = 192,796,624.05/16,553.84
  6. Step 6: Final answer
    x = 11,646.64

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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.