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Finding the Fourth Proportional to 8,475.92, 12,662.14 and 6,746.48

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Solution

The fourth proportional to 8,475.92, 12,662.14 and 6,746.48 is: 10,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.92 : 12,662.14 = 6,746.48 : x
  2. Step 2: Convert to fraction form
    8,475.92/12,662.14 = 6,746.48/x
  3. Step 3: Cross multiply
    8,475.92x = 12,662.14 × 6,746.48
  4. Step 4: Simplify right side
    8,475.92x = 85,424,874.27
  5. Step 5: Solve for x
    x = 85,424,874.27/8,475.92
  6. Step 6: Final answer
    x = 10,078.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.