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Finding the Fourth Proportional to 5,277.67, 7,916.49 and 1,768.21

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Solution

The fourth proportional to 5,277.67, 7,916.49 and 1,768.21 is: 2,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.67 : 7,916.49 = 1,768.21 : x
  2. Step 2: Convert to fraction form
    5,277.67/7,916.49 = 1,768.21/x
  3. Step 3: Cross multiply
    5,277.67x = 7,916.49 × 1,768.21
  4. Step 4: Simplify right side
    5,277.67x = 13,998,016.78
  5. Step 5: Solve for x
    x = 13,998,016.78/5,277.67
  6. Step 6: Final answer
    x = 2,652.31

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1.5x scale

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.