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Finding the Fourth Proportional to 22,904.14, 34,358.04 and 7,321.78

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Solution

The fourth proportional to 22,904.14, 34,358.04 and 7,321.78 is: 10,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.14 : 34,358.04 = 7,321.78 : x
  2. Step 2: Convert to fraction form
    22,904.14/34,358.04 = 7,321.78/x
  3. Step 3: Cross multiply
    22,904.14x = 34,358.04 × 7,321.78
  4. Step 4: Simplify right side
    22,904.14x = 251,562,010.11
  5. Step 5: Solve for x
    x = 251,562,010.11/22,904.14
  6. Step 6: Final answer
    x = 10,983.25

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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.