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Finding the Fourth Proportional to 6,787.92, 9,368.16 and 4,135.71

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Solution

The fourth proportional to 6,787.92, 9,368.16 and 4,135.71 is: 5,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.92 : 9,368.16 = 4,135.71 : x
  2. Step 2: Convert to fraction form
    6,787.92/9,368.16 = 4,135.71/x
  3. Step 3: Cross multiply
    6,787.92x = 9,368.16 × 4,135.71
  4. Step 4: Simplify right side
    6,787.92x = 38,743,992.99
  5. Step 5: Solve for x
    x = 38,743,992.99/6,787.92
  6. Step 6: Final answer
    x = 5,707.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.