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Finding the Fourth Proportional to 11,473.73, 15,833.99 and 6,438.31

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Solution

The fourth proportional to 11,473.73, 15,833.99 and 6,438.31 is: 8,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.73 : 15,833.99 = 6,438.31 : x
  2. Step 2: Convert to fraction form
    11,473.73/15,833.99 = 6,438.31/x
  3. Step 3: Cross multiply
    11,473.73x = 15,833.99 × 6,438.31
  4. Step 4: Simplify right side
    11,473.73x = 101,944,165.52
  5. Step 5: Solve for x
    x = 101,944,165.52/11,473.73
  6. Step 6: Final answer
    x = 8,885.01

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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.