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Finding the Fourth Proportional to 10,805.64, 14,906.44 and 9,310.96

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Solution

The fourth proportional to 10,805.64, 14,906.44 and 9,310.96 is: 12,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.64 : 14,906.44 = 9,310.96 : x
  2. Step 2: Convert to fraction form
    10,805.64/14,906.44 = 9,310.96/x
  3. Step 3: Cross multiply
    10,805.64x = 14,906.44 × 9,310.96
  4. Step 4: Simplify right side
    10,805.64x = 138,793,266.58
  5. Step 5: Solve for x
    x = 138,793,266.58/10,805.64
  6. Step 6: Final answer
    x = 12,844.52

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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.