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Finding the Fourth Proportional to 7,047.41, 9,703.30 and 5,982.97

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Solution

The fourth proportional to 7,047.41, 9,703.30 and 5,982.97 is: 8,237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.41 : 9,703.30 = 5,982.97 : x
  2. Step 2: Convert to fraction form
    7,047.41/9,703.30 = 5,982.97/x
  3. Step 3: Cross multiply
    7,047.41x = 9,703.30 × 5,982.97
  4. Step 4: Simplify right side
    7,047.41x = 58,054,522.89
  5. Step 5: Solve for x
    x = 58,054,522.89/7,047.41
  6. Step 6: Final answer
    x = 8,237.71

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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.