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Finding the Fourth Proportional to 11,654.73, 16,083.90 and 6,619.17

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Solution

The fourth proportional to 11,654.73, 16,083.90 and 6,619.17 is: 9,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.73 : 16,083.90 = 6,619.17 : x
  2. Step 2: Convert to fraction form
    11,654.73/16,083.90 = 6,619.17/x
  3. Step 3: Cross multiply
    11,654.73x = 16,083.90 × 6,619.17
  4. Step 4: Simplify right side
    11,654.73x = 106,462,068.36
  5. Step 5: Solve for x
    x = 106,462,068.36/11,654.73
  6. Step 6: Final answer
    x = 9,134.67

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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.