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Finding the Fourth Proportional to 22,951, 34,432.26 and 6,535

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Solution

The fourth proportional to 22,951, 34,432.26 and 6,535 is: 9,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951 : 34,432.26 = 6,535 : x
  2. Step 2: Convert to fraction form
    22,951/34,432.26 = 6,535/x
  3. Step 3: Cross multiply
    22,951x = 34,432.26 × 6,535
  4. Step 4: Simplify right side
    22,951x = 225,014,819.10
  5. Step 5: Solve for x
    x = 225,014,819.10/22,951
  6. Step 6: Final answer
    x = 9,804.14

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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.