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Finding the Fourth Proportional to 11,651.66, 17,463.62 and 6,711.07

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Solution

The fourth proportional to 11,651.66, 17,463.62 and 6,711.07 is: 10,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.66 : 17,463.62 = 6,711.07 : x
  2. Step 2: Convert to fraction form
    11,651.66/17,463.62 = 6,711.07/x
  3. Step 3: Cross multiply
    11,651.66x = 17,463.62 × 6,711.07
  4. Step 4: Simplify right side
    11,651.66x = 117,199,455.40
  5. Step 5: Solve for x
    x = 117,199,455.40/11,651.66
  6. Step 6: Final answer
    x = 10,058.61

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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.