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Finding the Fourth Proportional to 7,001.36, 9,661.74 and 3,857.48

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Solution

The fourth proportional to 7,001.36, 9,661.74 and 3,857.48 is: 5,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.36 : 9,661.74 = 3,857.48 : x
  2. Step 2: Convert to fraction form
    7,001.36/9,661.74 = 3,857.48/x
  3. Step 3: Cross multiply
    7,001.36x = 9,661.74 × 3,857.48
  4. Step 4: Simplify right side
    7,001.36x = 37,269,968.82
  5. Step 5: Solve for x
    x = 37,269,968.82/7,001.36
  6. Step 6: Final answer
    x = 5,323.25

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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.