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Finding the Fourth Proportional to 16,053.96, 24,055.02 and 9,885

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Solution

The fourth proportional to 16,053.96, 24,055.02 and 9,885 is: 14,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.96 : 24,055.02 = 9,885 : x
  2. Step 2: Convert to fraction form
    16,053.96/24,055.02 = 9,885/x
  3. Step 3: Cross multiply
    16,053.96x = 24,055.02 × 9,885
  4. Step 4: Simplify right side
    16,053.96x = 237,783,872.70
  5. Step 5: Solve for x
    x = 237,783,872.70/16,053.96
  6. Step 6: Final answer
    x = 14,811.54

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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.