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Finding the Fourth Proportional to 11,892.87, 16,411.09 and 6,586.29

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Solution

The fourth proportional to 11,892.87, 16,411.09 and 6,586.29 is: 9,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.87 : 16,411.09 = 6,586.29 : x
  2. Step 2: Convert to fraction form
    11,892.87/16,411.09 = 6,586.29/x
  3. Step 3: Cross multiply
    11,892.87x = 16,411.09 × 6,586.29
  4. Step 4: Simplify right side
    11,892.87x = 108,088,197.96
  5. Step 5: Solve for x
    x = 108,088,197.96/11,892.87
  6. Step 6: Final answer
    x = 9,088.49

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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.