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Finding the Fourth Proportional to 11,694.61, 17,507.89 and 6,134.77

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Solution

The fourth proportional to 11,694.61, 17,507.89 and 6,134.77 is: 9,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.61 : 17,507.89 = 6,134.77 : x
  2. Step 2: Convert to fraction form
    11,694.61/17,507.89 = 6,134.77/x
  3. Step 3: Cross multiply
    11,694.61x = 17,507.89 × 6,134.77
  4. Step 4: Simplify right side
    11,694.61x = 107,406,878.34
  5. Step 5: Solve for x
    x = 107,406,878.34/11,694.61
  6. Step 6: Final answer
    x = 9,184.31

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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.