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Finding the Fourth Proportional to 9,594, 13,236.67 and 5,401.44

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Solution

The fourth proportional to 9,594, 13,236.67 and 5,401.44 is: 7,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594 : 13,236.67 = 5,401.44 : x
  2. Step 2: Convert to fraction form
    9,594/13,236.67 = 5,401.44/x
  3. Step 3: Cross multiply
    9,594x = 13,236.67 × 5,401.44
  4. Step 4: Simplify right side
    9,594x = 71,497,078.80
  5. Step 5: Solve for x
    x = 71,497,078.80/9,594
  6. Step 6: Final answer
    x = 7,452.27

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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.