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Finding the Fourth Proportional to 22,562, 33,845.20 and 6,146

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Solution

The fourth proportional to 22,562, 33,845.20 and 6,146 is: 9,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562 : 33,845.20 = 6,146 : x
  2. Step 2: Convert to fraction form
    22,562/33,845.20 = 6,146/x
  3. Step 3: Cross multiply
    22,562x = 33,845.20 × 6,146
  4. Step 4: Simplify right side
    22,562x = 208,012,599.20
  5. Step 5: Solve for x
    x = 208,012,599.20/22,562
  6. Step 6: Final answer
    x = 9,219.60

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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.