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Finding the Fourth Proportional to 9,608.56, 14,394.14 and 5,435.94

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Solution

The fourth proportional to 9,608.56, 14,394.14 and 5,435.94 is: 8,143.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.56 : 14,394.14 = 5,435.94 : x
  2. Step 2: Convert to fraction form
    9,608.56/14,394.14 = 5,435.94/x
  3. Step 3: Cross multiply
    9,608.56x = 14,394.14 × 5,435.94
  4. Step 4: Simplify right side
    9,608.56x = 78,245,728.57
  5. Step 5: Solve for x
    x = 78,245,728.57/9,608.56
  6. Step 6: Final answer
    x = 8,143.34

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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.