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Finding the Fourth Proportional to 8,096, 11,166.86 and 4,953.74

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Solution

The fourth proportional to 8,096, 11,166.86 and 4,953.74 is: 6,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096 : 11,166.86 = 4,953.74 : x
  2. Step 2: Convert to fraction form
    8,096/11,166.86 = 4,953.74/x
  3. Step 3: Cross multiply
    8,096x = 11,166.86 × 4,953.74
  4. Step 4: Simplify right side
    8,096x = 55,317,721.06
  5. Step 5: Solve for x
    x = 55,317,721.06/8,096
  6. Step 6: Final answer
    x = 6,832.72

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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.