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Finding the Fourth Proportional to 18,308.31, 27,462.09 and 5,829.20

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Solution

The fourth proportional to 18,308.31, 27,462.09 and 5,829.20 is: 8,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,308.31 : 27,462.09 = 5,829.20 : x
  2. Step 2: Convert to fraction form
    18,308.31/27,462.09 = 5,829.20/x
  3. Step 3: Cross multiply
    18,308.31x = 27,462.09 × 5,829.20
  4. Step 4: Simplify right side
    18,308.31x = 160,081,969.77
  5. Step 5: Solve for x
    x = 160,081,969.77/18,308.31
  6. Step 6: Final answer
    x = 8,743.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.