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Finding the Fourth Proportional to 11,891.14, 16,410 and 6,586.09

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Solution

The fourth proportional to 11,891.14, 16,410 and 6,586.09 is: 9,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.14 : 16,410 = 6,586.09 : x
  2. Step 2: Convert to fraction form
    11,891.14/16,410 = 6,586.09/x
  3. Step 3: Cross multiply
    11,891.14x = 16,410 × 6,586.09
  4. Step 4: Simplify right side
    11,891.14x = 108,077,736.90
  5. Step 5: Solve for x
    x = 108,077,736.90/11,891.14
  6. Step 6: Final answer
    x = 9,088.93

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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.