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Finding the Fourth Proportional to 6,827.09, 9,407.52 and 5,233.76

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Solution

The fourth proportional to 6,827.09, 9,407.52 and 5,233.76 is: 7,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.09 : 9,407.52 = 5,233.76 : x
  2. Step 2: Convert to fraction form
    6,827.09/9,407.52 = 5,233.76/x
  3. Step 3: Cross multiply
    6,827.09x = 9,407.52 × 5,233.76
  4. Step 4: Simplify right side
    6,827.09x = 49,236,728.31
  5. Step 5: Solve for x
    x = 49,236,728.31/6,827.09
  6. Step 6: Final answer
    x = 7,211.97

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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.