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Finding the Fourth Proportional to 16,823, 25,217.40 and 6,967.64

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Solution

The fourth proportional to 16,823, 25,217.40 and 6,967.64 is: 10,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823 : 25,217.40 = 6,967.64 : x
  2. Step 2: Convert to fraction form
    16,823/25,217.40 = 6,967.64/x
  3. Step 3: Cross multiply
    16,823x = 25,217.40 × 6,967.64
  4. Step 4: Simplify right side
    16,823x = 175,705,764.94
  5. Step 5: Solve for x
    x = 175,705,764.94/16,823
  6. Step 6: Final answer
    x = 10,444.38

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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.