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Finding the Fourth Proportional to 8,194.67, 11,308.64 and 4,657.88

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Solution

The fourth proportional to 8,194.67, 11,308.64 and 4,657.88 is: 6,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.67 : 11,308.64 = 4,657.88 : x
  2. Step 2: Convert to fraction form
    8,194.67/11,308.64 = 4,657.88/x
  3. Step 3: Cross multiply
    8,194.67x = 11,308.64 × 4,657.88
  4. Step 4: Simplify right side
    8,194.67x = 52,674,243.18
  5. Step 5: Solve for x
    x = 52,674,243.18/8,194.67
  6. Step 6: Final answer
    x = 6,427.87

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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.