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Finding the Fourth Proportional to 9,195.71, 12,682.71 and 6,008.76

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Solution

The fourth proportional to 9,195.71, 12,682.71 and 6,008.76 is: 8,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.71 : 12,682.71 = 6,008.76 : x
  2. Step 2: Convert to fraction form
    9,195.71/12,682.71 = 6,008.76/x
  3. Step 3: Cross multiply
    9,195.71x = 12,682.71 × 6,008.76
  4. Step 4: Simplify right side
    9,195.71x = 76,207,360.54
  5. Step 5: Solve for x
    x = 76,207,360.54/9,195.71
  6. Step 6: Final answer
    x = 8,287.27

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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.