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Finding the Fourth Proportional to 16,424.70, 24,608.70 and 7,641.60

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Solution

The fourth proportional to 16,424.70, 24,608.70 and 7,641.60 is: 11,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.70 : 24,608.70 = 7,641.60 : x
  2. Step 2: Convert to fraction form
    16,424.70/24,608.70 = 7,641.60/x
  3. Step 3: Cross multiply
    16,424.70x = 24,608.70 × 7,641.60
  4. Step 4: Simplify right side
    16,424.70x = 188,049,841.92
  5. Step 5: Solve for x
    x = 188,049,841.92/16,424.70
  6. Step 6: Final answer
    x = 11,449.21

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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.