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Finding the Fourth Proportional to 11,805.60, 16,287.84 and 7,616.64

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Solution

The fourth proportional to 11,805.60, 16,287.84 and 7,616.64 is: 10,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.60 : 16,287.84 = 7,616.64 : x
  2. Step 2: Convert to fraction form
    11,805.60/16,287.84 = 7,616.64/x
  3. Step 3: Cross multiply
    11,805.60x = 16,287.84 × 7,616.64
  4. Step 4: Simplify right side
    11,805.60x = 124,058,613.66
  5. Step 5: Solve for x
    x = 124,058,613.66/11,805.60
  6. Step 6: Final answer
    x = 10,508.45

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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.