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Finding the Fourth Proportional to 16,497.63, 24,747.66 and 7,146.72

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Solution

The fourth proportional to 16,497.63, 24,747.66 and 7,146.72 is: 10,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.63 : 24,747.66 = 7,146.72 : x
  2. Step 2: Convert to fraction form
    16,497.63/24,747.66 = 7,146.72/x
  3. Step 3: Cross multiply
    16,497.63x = 24,747.66 × 7,146.72
  4. Step 4: Simplify right side
    16,497.63x = 176,864,596.68
  5. Step 5: Solve for x
    x = 176,864,596.68/16,497.63
  6. Step 6: Final answer
    x = 10,720.61

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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.