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Finding the Fourth Proportional to 11,597, 16,003.86 and 6,629.96

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Solution

The fourth proportional to 11,597, 16,003.86 and 6,629.96 is: 9,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597 : 16,003.86 = 6,629.96 : x
  2. Step 2: Convert to fraction form
    11,597/16,003.86 = 6,629.96/x
  3. Step 3: Cross multiply
    11,597x = 16,003.86 × 6,629.96
  4. Step 4: Simplify right side
    11,597x = 106,104,951.65
  5. Step 5: Solve for x
    x = 106,104,951.65/11,597
  6. Step 6: Final answer
    x = 9,149.34

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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.