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Finding the Fourth Proportional to 16,493.64, 24,740.46 and 4,807.80

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Solution

The fourth proportional to 16,493.64, 24,740.46 and 4,807.80 is: 7,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.64 : 24,740.46 = 4,807.80 : x
  2. Step 2: Convert to fraction form
    16,493.64/24,740.46 = 4,807.80/x
  3. Step 3: Cross multiply
    16,493.64x = 24,740.46 × 4,807.80
  4. Step 4: Simplify right side
    16,493.64x = 118,947,183.59
  5. Step 5: Solve for x
    x = 118,947,183.59/16,493.64
  6. Step 6: Final answer
    x = 7,211.70

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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.