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Finding the Fourth Proportional to 9,188.71, 12,676.64 and 6,000.91

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Solution

The fourth proportional to 9,188.71, 12,676.64 and 6,000.91 is: 8,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.71 : 12,676.64 = 6,000.91 : x
  2. Step 2: Convert to fraction form
    9,188.71/12,676.64 = 6,000.91/x
  3. Step 3: Cross multiply
    9,188.71x = 12,676.64 × 6,000.91
  4. Step 4: Simplify right side
    9,188.71x = 76,071,375.74
  5. Step 5: Solve for x
    x = 76,071,375.74/9,188.71
  6. Step 6: Final answer
    x = 8,278.79

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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.