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Finding the Fourth Proportional to 6,891.92, 9,502.46 and 5,827.76

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Solution

The fourth proportional to 6,891.92, 9,502.46 and 5,827.76 is: 8,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.92 : 9,502.46 = 5,827.76 : x
  2. Step 2: Convert to fraction form
    6,891.92/9,502.46 = 5,827.76/x
  3. Step 3: Cross multiply
    6,891.92x = 9,502.46 × 5,827.76
  4. Step 4: Simplify right side
    6,891.92x = 55,378,056.29
  5. Step 5: Solve for x
    x = 55,378,056.29/6,891.92
  6. Step 6: Final answer
    x = 8,035.21

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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.