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Finding the Fourth Proportional to 9,596.81, 13,246.91 and 5,619.20

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Solution

The fourth proportional to 9,596.81, 13,246.91 and 5,619.20 is: 7,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.81 : 13,246.91 = 5,619.20 : x
  2. Step 2: Convert to fraction form
    9,596.81/13,246.91 = 5,619.20/x
  3. Step 3: Cross multiply
    9,596.81x = 13,246.91 × 5,619.20
  4. Step 4: Simplify right side
    9,596.81x = 74,436,942.34
  5. Step 5: Solve for x
    x = 74,436,942.34/9,596.81
  6. Step 6: Final answer
    x = 7,756.43

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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.