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Finding the Fourth Proportional to 9,694.56, 13,379.04 and 5,503.68

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Solution

The fourth proportional to 9,694.56, 13,379.04 and 5,503.68 is: 7,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.56 : 13,379.04 = 5,503.68 : x
  2. Step 2: Convert to fraction form
    9,694.56/13,379.04 = 5,503.68/x
  3. Step 3: Cross multiply
    9,694.56x = 13,379.04 × 5,503.68
  4. Step 4: Simplify right side
    9,694.56x = 73,633,954.87
  5. Step 5: Solve for x
    x = 73,633,954.87/9,694.56
  6. Step 6: Final answer
    x = 7,595.39

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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.