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Finding the Fourth Proportional to 16,094.93, 24,138.74 and 7,205.58

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Solution

The fourth proportional to 16,094.93, 24,138.74 and 7,205.58 is: 10,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,094.93 : 24,138.74 = 7,205.58 : x
  2. Step 2: Convert to fraction form
    16,094.93/24,138.74 = 7,205.58/x
  3. Step 3: Cross multiply
    16,094.93x = 24,138.74 × 7,205.58
  4. Step 4: Simplify right side
    16,094.93x = 173,933,640.18
  5. Step 5: Solve for x
    x = 173,933,640.18/16,094.93
  6. Step 6: Final answer
    x = 10,806.74

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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.