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Finding the Fourth Proportional to 7,001.25, 9,661.73 and 3,857.64

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Solution

The fourth proportional to 7,001.25, 9,661.73 and 3,857.64 is: 5,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.25 : 9,661.73 = 3,857.64 : x
  2. Step 2: Convert to fraction form
    7,001.25/9,661.73 = 3,857.64/x
  3. Step 3: Cross multiply
    7,001.25x = 9,661.73 × 3,857.64
  4. Step 4: Simplify right side
    7,001.25x = 37,271,456.83
  5. Step 5: Solve for x
    x = 37,271,456.83/7,001.25
  6. Step 6: Final answer
    x = 5,323.54

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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.