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Finding the Fourth Proportional to 9,853.97, 14,772.04 and 3,609.54

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Solution

The fourth proportional to 9,853.97, 14,772.04 and 3,609.54 is: 5,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.97 : 14,772.04 = 3,609.54 : x
  2. Step 2: Convert to fraction form
    9,853.97/14,772.04 = 3,609.54/x
  3. Step 3: Cross multiply
    9,853.97x = 14,772.04 × 3,609.54
  4. Step 4: Simplify right side
    9,853.97x = 53,320,260.24
  5. Step 5: Solve for x
    x = 53,320,260.24/9,853.97
  6. Step 6: Final answer
    x = 5,411.05

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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.