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Finding the Fourth Proportional to 22,676.16, 34,015.68 and 7,098.24

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Solution

The fourth proportional to 22,676.16, 34,015.68 and 7,098.24 is: 10,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.16 : 34,015.68 = 7,098.24 : x
  2. Step 2: Convert to fraction form
    22,676.16/34,015.68 = 7,098.24/x
  3. Step 3: Cross multiply
    22,676.16x = 34,015.68 × 7,098.24
  4. Step 4: Simplify right side
    22,676.16x = 241,451,460.40
  5. Step 5: Solve for x
    x = 241,451,460.40/22,676.16
  6. Step 6: Final answer
    x = 10,647.81

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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.