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Finding the Fourth Proportional to 10,092.84, 15,135.42 and 4,617

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Solution

The fourth proportional to 10,092.84, 15,135.42 and 4,617 is: 6,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.84 : 15,135.42 = 4,617 : x
  2. Step 2: Convert to fraction form
    10,092.84/15,135.42 = 4,617/x
  3. Step 3: Cross multiply
    10,092.84x = 15,135.42 × 4,617
  4. Step 4: Simplify right side
    10,092.84x = 69,880,234.14
  5. Step 5: Solve for x
    x = 69,880,234.14/10,092.84
  6. Step 6: Final answer
    x = 6,923.74

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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.