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Finding the Fourth Proportional to 9,959.50, 14,930.02 and 4,409.90

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Solution

The fourth proportional to 9,959.50, 14,930.02 and 4,409.90 is: 6,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.50 : 14,930.02 = 4,409.90 : x
  2. Step 2: Convert to fraction form
    9,959.50/14,930.02 = 4,409.90/x
  3. Step 3: Cross multiply
    9,959.50x = 14,930.02 × 4,409.90
  4. Step 4: Simplify right side
    9,959.50x = 65,839,895.20
  5. Step 5: Solve for x
    x = 65,839,895.20/9,959.50
  6. Step 6: Final answer
    x = 6,610.76

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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.