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Finding the Fourth Proportional to 6,301.50, 9,445.99 and 3,010.75

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Solution

The fourth proportional to 6,301.50, 9,445.99 and 3,010.75 is: 4,513.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.50 : 9,445.99 = 3,010.75 : x
  2. Step 2: Convert to fraction form
    6,301.50/9,445.99 = 3,010.75/x
  3. Step 3: Cross multiply
    6,301.50x = 9,445.99 × 3,010.75
  4. Step 4: Simplify right side
    6,301.50x = 28,439,506.87
  5. Step 5: Solve for x
    x = 28,439,506.87/6,301.50
  6. Step 6: Final answer
    x = 4,513.13

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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.