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Finding the Fourth Proportional to 7,234.84, 9,982.83 and 4,090.42

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Solution

The fourth proportional to 7,234.84, 9,982.83 and 4,090.42 is: 5,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.84 : 9,982.83 = 4,090.42 : x
  2. Step 2: Convert to fraction form
    7,234.84/9,982.83 = 4,090.42/x
  3. Step 3: Cross multiply
    7,234.84x = 9,982.83 × 4,090.42
  4. Step 4: Simplify right side
    7,234.84x = 40,833,967.49
  5. Step 5: Solve for x
    x = 40,833,967.49/7,234.84
  6. Step 6: Final answer
    x = 5,644.07

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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.