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Finding the Fourth Proportional to 9,214.56, 13,782.96 and 7,351.56

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Solution

The fourth proportional to 9,214.56, 13,782.96 and 7,351.56 is: 10,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.56 : 13,782.96 = 7,351.56 : x
  2. Step 2: Convert to fraction form
    9,214.56/13,782.96 = 7,351.56/x
  3. Step 3: Cross multiply
    9,214.56x = 13,782.96 × 7,351.56
  4. Step 4: Simplify right side
    9,214.56x = 101,326,257.42
  5. Step 5: Solve for x
    x = 101,326,257.42/9,214.56
  6. Step 6: Final answer
    x = 10,996.32

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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.