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Finding the Fourth Proportional to 11,599.60, 17,486.32 and 10,827.17

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Solution

The fourth proportional to 11,599.60, 17,486.32 and 10,827.17 is: 16,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.60 : 17,486.32 = 10,827.17 : x
  2. Step 2: Convert to fraction form
    11,599.60/17,486.32 = 10,827.17/x
  3. Step 3: Cross multiply
    11,599.60x = 17,486.32 × 10,827.17
  4. Step 4: Simplify right side
    11,599.60x = 189,327,359.31
  5. Step 5: Solve for x
    x = 189,327,359.31/11,599.60
  6. Step 6: Final answer
    x = 16,321.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.