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Finding the Fourth Proportional to 7,234.74, 9,984.21 and 4,090.74

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Solution

The fourth proportional to 7,234.74, 9,984.21 and 4,090.74 is: 5,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.74 : 9,984.21 = 4,090.74 : x
  2. Step 2: Convert to fraction form
    7,234.74/9,984.21 = 4,090.74/x
  3. Step 3: Cross multiply
    7,234.74x = 9,984.21 × 4,090.74
  4. Step 4: Simplify right side
    7,234.74x = 40,842,807.22
  5. Step 5: Solve for x
    x = 40,842,807.22/7,234.74
  6. Step 6: Final answer
    x = 5,645.37

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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.