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Finding the Fourth Proportional to 6,481.92, 8,957.16 and 5,302.56

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Solution

The fourth proportional to 6,481.92, 8,957.16 and 5,302.56 is: 7,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.92 : 8,957.16 = 5,302.56 : x
  2. Step 2: Convert to fraction form
    6,481.92/8,957.16 = 5,302.56/x
  3. Step 3: Cross multiply
    6,481.92x = 8,957.16 × 5,302.56
  4. Step 4: Simplify right side
    6,481.92x = 47,495,878.33
  5. Step 5: Solve for x
    x = 47,495,878.33/6,481.92
  6. Step 6: Final answer
    x = 7,327.44

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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.