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Finding the Fourth Proportional to 6,920.25, 10,382.81 and 3,024.96

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Solution

The fourth proportional to 6,920.25, 10,382.81 and 3,024.96 is: 4,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.25 : 10,382.81 = 3,024.96 : x
  2. Step 2: Convert to fraction form
    6,920.25/10,382.81 = 3,024.96/x
  3. Step 3: Cross multiply
    6,920.25x = 10,382.81 × 3,024.96
  4. Step 4: Simplify right side
    6,920.25x = 31,407,569.81
  5. Step 5: Solve for x
    x = 31,407,569.81/6,920.25
  6. Step 6: Final answer
    x = 4,538.50

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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.