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Finding the Fourth Proportional to 16,344.96, 24,495.88 and 6,478.84

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Solution

The fourth proportional to 16,344.96, 24,495.88 and 6,478.84 is: 9,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.96 : 24,495.88 = 6,478.84 : x
  2. Step 2: Convert to fraction form
    16,344.96/24,495.88 = 6,478.84/x
  3. Step 3: Cross multiply
    16,344.96x = 24,495.88 × 6,478.84
  4. Step 4: Simplify right side
    16,344.96x = 158,704,887.18
  5. Step 5: Solve for x
    x = 158,704,887.18/16,344.96
  6. Step 6: Final answer
    x = 9,709.71

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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.