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Finding the Fourth Proportional to 9,773.92, 14,654.36 and 5,033.16

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Solution

The fourth proportional to 9,773.92, 14,654.36 and 5,033.16 is: 7,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.92 : 14,654.36 = 5,033.16 : x
  2. Step 2: Convert to fraction form
    9,773.92/14,654.36 = 5,033.16/x
  3. Step 3: Cross multiply
    9,773.92x = 14,654.36 × 5,033.16
  4. Step 4: Simplify right side
    9,773.92x = 73,757,738.58
  5. Step 5: Solve for x
    x = 73,757,738.58/9,773.92
  6. Step 6: Final answer
    x = 7,546.38

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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.