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Finding the Fourth Proportional to 11,617.58, 16,016.82 and 9,235.58

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Solution

The fourth proportional to 11,617.58, 16,016.82 and 9,235.58 is: 12,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.58 : 16,016.82 = 9,235.58 : x
  2. Step 2: Convert to fraction form
    11,617.58/16,016.82 = 9,235.58/x
  3. Step 3: Cross multiply
    11,617.58x = 16,016.82 × 9,235.58
  4. Step 4: Simplify right side
    11,617.58x = 147,924,507.74
  5. Step 5: Solve for x
    x = 147,924,507.74/11,617.58
  6. Step 6: Final answer
    x = 12,732.81

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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.