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Finding the Fourth Proportional to 9,164.82, 13,739.53 and 6,383.28

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Solution

The fourth proportional to 9,164.82, 13,739.53 and 6,383.28 is: 9,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.82 : 13,739.53 = 6,383.28 : x
  2. Step 2: Convert to fraction form
    9,164.82/13,739.53 = 6,383.28/x
  3. Step 3: Cross multiply
    9,164.82x = 13,739.53 × 6,383.28
  4. Step 4: Simplify right side
    9,164.82x = 87,703,182.40
  5. Step 5: Solve for x
    x = 87,703,182.40/9,164.82
  6. Step 6: Final answer
    x = 9,569.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.