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Finding the Fourth Proportional to 9,149.11, 13,713.79 and 4,458.77

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Solution

The fourth proportional to 9,149.11, 13,713.79 and 4,458.77 is: 6,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.11 : 13,713.79 = 4,458.77 : x
  2. Step 2: Convert to fraction form
    9,149.11/13,713.79 = 4,458.77/x
  3. Step 3: Cross multiply
    9,149.11x = 13,713.79 × 4,458.77
  4. Step 4: Simplify right side
    9,149.11x = 61,146,635.44
  5. Step 5: Solve for x
    x = 61,146,635.44/9,149.11
  6. Step 6: Final answer
    x = 6,683.34

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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.