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Finding the Fourth Proportional to 9,893.11, 13,658.86 and 8,829.05

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Solution

The fourth proportional to 9,893.11, 13,658.86 and 8,829.05 is: 12,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.11 : 13,658.86 = 8,829.05 : x
  2. Step 2: Convert to fraction form
    9,893.11/13,658.86 = 8,829.05/x
  3. Step 3: Cross multiply
    9,893.11x = 13,658.86 × 8,829.05
  4. Step 4: Simplify right side
    9,893.11x = 120,594,757.88
  5. Step 5: Solve for x
    x = 120,594,757.88/9,893.11
  6. Step 6: Final answer
    x = 12,189.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.