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Finding the Fourth Proportional to 6,090.23, 8,408.42 and 4,973.84

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Solution

The fourth proportional to 6,090.23, 8,408.42 and 4,973.84 is: 6,867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.23 : 8,408.42 = 4,973.84 : x
  2. Step 2: Convert to fraction form
    6,090.23/8,408.42 = 4,973.84/x
  3. Step 3: Cross multiply
    6,090.23x = 8,408.42 × 4,973.84
  4. Step 4: Simplify right side
    6,090.23x = 41,822,150.54
  5. Step 5: Solve for x
    x = 41,822,150.54/6,090.23
  6. Step 6: Final answer
    x = 6,867.09

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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.