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Finding the Fourth Proportional to 7,448.71, 11,174.91 and 2,254.60

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Solution

The fourth proportional to 7,448.71, 11,174.91 and 2,254.60 is: 3,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.71 : 11,174.91 = 2,254.60 : x
  2. Step 2: Convert to fraction form
    7,448.71/11,174.91 = 2,254.60/x
  3. Step 3: Cross multiply
    7,448.71x = 11,174.91 × 2,254.60
  4. Step 4: Simplify right side
    7,448.71x = 25,194,952.09
  5. Step 5: Solve for x
    x = 25,194,952.09/7,448.71
  6. Step 6: Final answer
    x = 3,382.46

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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.