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Finding the Fourth Proportional to 9,893.67, 14,843.60 and 5,949.24

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Solution

The fourth proportional to 9,893.67, 14,843.60 and 5,949.24 is: 8,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.67 : 14,843.60 = 5,949.24 : x
  2. Step 2: Convert to fraction form
    9,893.67/14,843.60 = 5,949.24/x
  3. Step 3: Cross multiply
    9,893.67x = 14,843.60 × 5,949.24
  4. Step 4: Simplify right side
    9,893.67x = 88,308,138.86
  5. Step 5: Solve for x
    x = 88,308,138.86/9,893.67
  6. Step 6: Final answer
    x = 8,925.72

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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.