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Finding the Fourth Proportional to 7,234.68, 9,983.86 and 4,090.84

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Solution

The fourth proportional to 7,234.68, 9,983.86 and 4,090.84 is: 5,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.68 : 9,983.86 = 4,090.84 : x
  2. Step 2: Convert to fraction form
    7,234.68/9,983.86 = 4,090.84/x
  3. Step 3: Cross multiply
    7,234.68x = 9,983.86 × 4,090.84
  4. Step 4: Simplify right side
    7,234.68x = 40,842,373.84
  5. Step 5: Solve for x
    x = 40,842,373.84/7,234.68
  6. Step 6: Final answer
    x = 5,645.36

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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.