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Finding the Fourth Proportional to 22,530.96, 33,800.94 and 6,948

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Solution

The fourth proportional to 22,530.96, 33,800.94 and 6,948 is: 10,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.96 : 33,800.94 = 6,948 : x
  2. Step 2: Convert to fraction form
    22,530.96/33,800.94 = 6,948/x
  3. Step 3: Cross multiply
    22,530.96x = 33,800.94 × 6,948
  4. Step 4: Simplify right side
    22,530.96x = 234,848,931.12
  5. Step 5: Solve for x
    x = 234,848,931.12/22,530.96
  6. Step 6: Final answer
    x = 10,423.39

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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.