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Finding the Fourth Proportional to 11,616.26, 16,032.77 and 6,899.63

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Solution

The fourth proportional to 11,616.26, 16,032.77 and 6,899.63 is: 9,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.26 : 16,032.77 = 6,899.63 : x
  2. Step 2: Convert to fraction form
    11,616.26/16,032.77 = 6,899.63/x
  3. Step 3: Cross multiply
    11,616.26x = 16,032.77 × 6,899.63
  4. Step 4: Simplify right side
    11,616.26x = 110,620,066.21
  5. Step 5: Solve for x
    x = 110,620,066.21/11,616.26
  6. Step 6: Final answer
    x = 9,522.87

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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.