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Finding the Fourth Proportional to 16,657.74, 24,991.46 and 7,880.58

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Solution

The fourth proportional to 16,657.74, 24,991.46 and 7,880.58 is: 11,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.74 : 24,991.46 = 7,880.58 : x
  2. Step 2: Convert to fraction form
    16,657.74/24,991.46 = 7,880.58/x
  3. Step 3: Cross multiply
    16,657.74x = 24,991.46 × 7,880.58
  4. Step 4: Simplify right side
    16,657.74x = 196,947,160.44
  5. Step 5: Solve for x
    x = 196,947,160.44/16,657.74
  6. Step 6: Final answer
    x = 11,823.16

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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.