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Finding the Fourth Proportional to 6,517.92, 9,784.32 and 4,954.08

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Solution

The fourth proportional to 6,517.92, 9,784.32 and 4,954.08 is: 7,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.92 : 9,784.32 = 4,954.08 : x
  2. Step 2: Convert to fraction form
    6,517.92/9,784.32 = 4,954.08/x
  3. Step 3: Cross multiply
    6,517.92x = 9,784.32 × 4,954.08
  4. Step 4: Simplify right side
    6,517.92x = 48,472,304.03
  5. Step 5: Solve for x
    x = 48,472,304.03/6,517.92
  6. Step 6: Final answer
    x = 7,436.77

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1.5x scale

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.