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Finding the Fourth Proportional to 9,661.62, 14,497.29 and 7,201.38

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Solution

The fourth proportional to 9,661.62, 14,497.29 and 7,201.38 is: 10,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.62 : 14,497.29 = 7,201.38 : x
  2. Step 2: Convert to fraction form
    9,661.62/14,497.29 = 7,201.38/x
  3. Step 3: Cross multiply
    9,661.62x = 14,497.29 × 7,201.38
  4. Step 4: Simplify right side
    9,661.62x = 104,400,494.26
  5. Step 5: Solve for x
    x = 104,400,494.26/9,661.62
  6. Step 6: Final answer
    x = 10,805.69

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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.