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Finding the Fourth Proportional to 11,892.84, 16,413 and 6,588.12

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Solution

The fourth proportional to 11,892.84, 16,413 and 6,588.12 is: 9,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.84 : 16,413 = 6,588.12 : x
  2. Step 2: Convert to fraction form
    11,892.84/16,413 = 6,588.12/x
  3. Step 3: Cross multiply
    11,892.84x = 16,413 × 6,588.12
  4. Step 4: Simplify right side
    11,892.84x = 108,130,813.56
  5. Step 5: Solve for x
    x = 108,130,813.56/11,892.84
  6. Step 6: Final answer
    x = 9,092.09

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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.