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Finding the Fourth Proportional to 9,853.62, 14,791.32 and 9,817.08

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Solution

The fourth proportional to 9,853.62, 14,791.32 and 9,817.08 is: 14,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.62 : 14,791.32 = 9,817.08 : x
  2. Step 2: Convert to fraction form
    9,853.62/14,791.32 = 9,817.08/x
  3. Step 3: Cross multiply
    9,853.62x = 14,791.32 × 9,817.08
  4. Step 4: Simplify right side
    9,853.62x = 145,207,571.75
  5. Step 5: Solve for x
    x = 145,207,571.75/9,853.62
  6. Step 6: Final answer
    x = 14,736.47

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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.