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Finding the Fourth Proportional to 11,634.76, 16,054.77 and 6,918.13

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Solution

The fourth proportional to 11,634.76, 16,054.77 and 6,918.13 is: 9,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.76 : 16,054.77 = 6,918.13 : x
  2. Step 2: Convert to fraction form
    11,634.76/16,054.77 = 6,918.13/x
  3. Step 3: Cross multiply
    11,634.76x = 16,054.77 × 6,918.13
  4. Step 4: Simplify right side
    11,634.76x = 111,068,985.98
  5. Step 5: Solve for x
    x = 111,068,985.98/11,634.76
  6. Step 6: Final answer
    x = 9,546.31

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Double scale
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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.