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Finding the Fourth Proportional to 7,468.74, 11,202.75 and 1,922.22

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Solution

The fourth proportional to 7,468.74, 11,202.75 and 1,922.22 is: 2,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.74 : 11,202.75 = 1,922.22 : x
  2. Step 2: Convert to fraction form
    7,468.74/11,202.75 = 1,922.22/x
  3. Step 3: Cross multiply
    7,468.74x = 11,202.75 × 1,922.22
  4. Step 4: Simplify right side
    7,468.74x = 21,534,150.11
  5. Step 5: Solve for x
    x = 21,534,150.11/7,468.74
  6. Step 6: Final answer
    x = 2,883.24

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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.