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Finding the Fourth Proportional to 7,923.18, 11,894.49 and 7,262.22

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Solution

The fourth proportional to 7,923.18, 11,894.49 and 7,262.22 is: 10,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.18 : 11,894.49 = 7,262.22 : x
  2. Step 2: Convert to fraction form
    7,923.18/11,894.49 = 7,262.22/x
  3. Step 3: Cross multiply
    7,923.18x = 11,894.49 × 7,262.22
  4. Step 4: Simplify right side
    7,923.18x = 86,380,403.17
  5. Step 5: Solve for x
    x = 86,380,403.17/7,923.18
  6. Step 6: Final answer
    x = 10,902.24

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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.