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Finding the Fourth Proportional to 10,796.31, 14,893.65 and 9,301.64

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Solution

The fourth proportional to 10,796.31, 14,893.65 and 9,301.64 is: 12,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.31 : 14,893.65 = 9,301.64 : x
  2. Step 2: Convert to fraction form
    10,796.31/14,893.65 = 9,301.64/x
  3. Step 3: Cross multiply
    10,796.31x = 14,893.65 × 9,301.64
  4. Step 4: Simplify right side
    10,796.31x = 138,535,296.12
  5. Step 5: Solve for x
    x = 138,535,296.12/10,796.31
  6. Step 6: Final answer
    x = 12,831.73

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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.