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Finding the Fourth Proportional to 15,794.10, 23,691.04 and 6,431.92

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Solution

The fourth proportional to 15,794.10, 23,691.04 and 6,431.92 is: 9,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.10 : 23,691.04 = 6,431.92 : x
  2. Step 2: Convert to fraction form
    15,794.10/23,691.04 = 6,431.92/x
  3. Step 3: Cross multiply
    15,794.10x = 23,691.04 × 6,431.92
  4. Step 4: Simplify right side
    15,794.10x = 152,378,874.00
  5. Step 5: Solve for x
    x = 152,378,874.00/15,794.10
  6. Step 6: Final answer
    x = 9,647.84

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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.