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Finding the Fourth Proportional to 11,394.30, 15,724.14 and 6,678.57

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Solution

The fourth proportional to 11,394.30, 15,724.14 and 6,678.57 is: 9,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.30 : 15,724.14 = 6,678.57 : x
  2. Step 2: Convert to fraction form
    11,394.30/15,724.14 = 6,678.57/x
  3. Step 3: Cross multiply
    11,394.30x = 15,724.14 × 6,678.57
  4. Step 4: Simplify right side
    11,394.30x = 105,014,769.68
  5. Step 5: Solve for x
    x = 105,014,769.68/11,394.30
  6. Step 6: Final answer
    x = 9,216.43

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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.