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Finding the Fourth Proportional to 6,241.98, 9,362.35 and 1,624.98

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Solution

The fourth proportional to 6,241.98, 9,362.35 and 1,624.98 is: 2,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.98 : 9,362.35 = 1,624.98 : x
  2. Step 2: Convert to fraction form
    6,241.98/9,362.35 = 1,624.98/x
  3. Step 3: Cross multiply
    6,241.98x = 9,362.35 × 1,624.98
  4. Step 4: Simplify right side
    6,241.98x = 15,213,631.50
  5. Step 5: Solve for x
    x = 15,213,631.50/6,241.98
  6. Step 6: Final answer
    x = 2,437.31

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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.