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Finding the Fourth Proportional to 7,594.36, 11,399.74 and 6,375.11

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Solution

The fourth proportional to 7,594.36, 11,399.74 and 6,375.11 is: 9,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.36 : 11,399.74 = 6,375.11 : x
  2. Step 2: Convert to fraction form
    7,594.36/11,399.74 = 6,375.11/x
  3. Step 3: Cross multiply
    7,594.36x = 11,399.74 × 6,375.11
  4. Step 4: Simplify right side
    7,594.36x = 72,674,523.53
  5. Step 5: Solve for x
    x = 72,674,523.53/7,594.36
  6. Step 6: Final answer
    x = 9,569.54

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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.