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Finding the Fourth Proportional to 9,906.58, 14,854.20 and 4,060

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Solution

The fourth proportional to 9,906.58, 14,854.20 and 4,060 is: 6,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.58 : 14,854.20 = 4,060 : x
  2. Step 2: Convert to fraction form
    9,906.58/14,854.20 = 4,060/x
  3. Step 3: Cross multiply
    9,906.58x = 14,854.20 × 4,060
  4. Step 4: Simplify right side
    9,906.58x = 60,308,052
  5. Step 5: Solve for x
    x = 60,308,052/9,906.58
  6. Step 6: Final answer
    x = 6,087.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.