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Finding the Fourth Proportional to 16,202.40, 24,284.40 and 6,842.40

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Solution

The fourth proportional to 16,202.40, 24,284.40 and 6,842.40 is: 10,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.40 : 24,284.40 = 6,842.40 : x
  2. Step 2: Convert to fraction form
    16,202.40/24,284.40 = 6,842.40/x
  3. Step 3: Cross multiply
    16,202.40x = 24,284.40 × 6,842.40
  4. Step 4: Simplify right side
    16,202.40x = 166,163,578.56
  5. Step 5: Solve for x
    x = 166,163,578.56/16,202.40
  6. Step 6: Final answer
    x = 10,255.49

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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.