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Finding the Fourth Proportional to 9,930.50, 14,888.66 and 4,662.56

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Solution

The fourth proportional to 9,930.50, 14,888.66 and 4,662.56 is: 6,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.50 : 14,888.66 = 4,662.56 : x
  2. Step 2: Convert to fraction form
    9,930.50/14,888.66 = 4,662.56/x
  3. Step 3: Cross multiply
    9,930.50x = 14,888.66 × 4,662.56
  4. Step 4: Simplify right side
    9,930.50x = 69,419,310.71
  5. Step 5: Solve for x
    x = 69,419,310.71/9,930.50
  6. Step 6: Final answer
    x = 6,990.52

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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.