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Finding the Fourth Proportional to 11,899.03, 16,420 and 6,593.43

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Solution

The fourth proportional to 11,899.03, 16,420 and 6,593.43 is: 9,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.03 : 16,420 = 6,593.43 : x
  2. Step 2: Convert to fraction form
    11,899.03/16,420 = 6,593.43/x
  3. Step 3: Cross multiply
    11,899.03x = 16,420 × 6,593.43
  4. Step 4: Simplify right side
    11,899.03x = 108,264,120.60
  5. Step 5: Solve for x
    x = 108,264,120.60/11,899.03
  6. Step 6: Final answer
    x = 9,098.57

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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.