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Finding the Fourth Proportional to 9,980.98, 14,975 and 4,433.82

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Solution

The fourth proportional to 9,980.98, 14,975 and 4,433.82 is: 6,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.98 : 14,975 = 4,433.82 : x
  2. Step 2: Convert to fraction form
    9,980.98/14,975 = 4,433.82/x
  3. Step 3: Cross multiply
    9,980.98x = 14,975 × 4,433.82
  4. Step 4: Simplify right side
    9,980.98x = 66,396,454.50
  5. Step 5: Solve for x
    x = 66,396,454.50/9,980.98
  6. Step 6: Final answer
    x = 6,652.30

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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.