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Finding the Fourth Proportional to 16,276.99, 24,419.12 and 6,917.31

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Solution

The fourth proportional to 16,276.99, 24,419.12 and 6,917.31 is: 10,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.99 : 24,419.12 = 6,917.31 : x
  2. Step 2: Convert to fraction form
    16,276.99/24,419.12 = 6,917.31/x
  3. Step 3: Cross multiply
    16,276.99x = 24,419.12 × 6,917.31
  4. Step 4: Simplify right side
    16,276.99x = 168,914,500.87
  5. Step 5: Solve for x
    x = 168,914,500.87/16,276.99
  6. Step 6: Final answer
    x = 10,377.50

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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.