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Finding the Fourth Proportional to 11,588.68, 17,382.84 and 4,663

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Solution

The fourth proportional to 11,588.68, 17,382.84 and 4,663 is: 6,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.68 : 17,382.84 = 4,663 : x
  2. Step 2: Convert to fraction form
    11,588.68/17,382.84 = 4,663/x
  3. Step 3: Cross multiply
    11,588.68x = 17,382.84 × 4,663
  4. Step 4: Simplify right side
    11,588.68x = 81,056,182.92
  5. Step 5: Solve for x
    x = 81,056,182.92/11,588.68
  6. Step 6: Final answer
    x = 6,994.43

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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.