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Finding the Fourth Proportional to 11,394.14, 15,723.93 and 6,358.23

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Solution

The fourth proportional to 11,394.14, 15,723.93 and 6,358.23 is: 8,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.14 : 15,723.93 = 6,358.23 : x
  2. Step 2: Convert to fraction form
    11,394.14/15,723.93 = 6,358.23/x
  3. Step 3: Cross multiply
    11,394.14x = 15,723.93 × 6,358.23
  4. Step 4: Simplify right side
    11,394.14x = 99,976,363.44
  5. Step 5: Solve for x
    x = 99,976,363.44/11,394.14
  6. Step 6: Final answer
    x = 8,774.37

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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.