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Finding the Fourth Proportional to 7,234.34, 9,982.22 and 4,090.10

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Solution

The fourth proportional to 7,234.34, 9,982.22 and 4,090.10 is: 5,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.34 : 9,982.22 = 4,090.10 : x
  2. Step 2: Convert to fraction form
    7,234.34/9,982.22 = 4,090.10/x
  3. Step 3: Cross multiply
    7,234.34x = 9,982.22 × 4,090.10
  4. Step 4: Simplify right side
    7,234.34x = 40,828,278.02
  5. Step 5: Solve for x
    x = 40,828,278.02/7,234.34
  6. Step 6: Final answer
    x = 5,643.68

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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.