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Finding the Fourth Proportional to 9,952.14, 13,734.27 and 5,476.38

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Solution

The fourth proportional to 9,952.14, 13,734.27 and 5,476.38 is: 7,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.14 : 13,734.27 = 5,476.38 : x
  2. Step 2: Convert to fraction form
    9,952.14/13,734.27 = 5,476.38/x
  3. Step 3: Cross multiply
    9,952.14x = 13,734.27 × 5,476.38
  4. Step 4: Simplify right side
    9,952.14x = 75,214,081.54
  5. Step 5: Solve for x
    x = 75,214,081.54/9,952.14
  6. Step 6: Final answer
    x = 7,557.58

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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.