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Finding the Fourth Proportional to 5,972.46, 8,237.43 and 5,300.97

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Solution

The fourth proportional to 5,972.46, 8,237.43 and 5,300.97 is: 7,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.46 : 8,237.43 = 5,300.97 : x
  2. Step 2: Convert to fraction form
    5,972.46/8,237.43 = 5,300.97/x
  3. Step 3: Cross multiply
    5,972.46x = 8,237.43 × 5,300.97
  4. Step 4: Simplify right side
    5,972.46x = 43,666,369.31
  5. Step 5: Solve for x
    x = 43,666,369.31/5,972.46
  6. Step 6: Final answer
    x = 7,311.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.