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Finding the Fourth Proportional to 7,594.56, 11,381.04 and 3,424.14

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Solution

The fourth proportional to 7,594.56, 11,381.04 and 3,424.14 is: 5,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.56 : 11,381.04 = 3,424.14 : x
  2. Step 2: Convert to fraction form
    7,594.56/11,381.04 = 3,424.14/x
  3. Step 3: Cross multiply
    7,594.56x = 11,381.04 × 3,424.14
  4. Step 4: Simplify right side
    7,594.56x = 38,970,274.31
  5. Step 5: Solve for x
    x = 38,970,274.31/7,594.56
  6. Step 6: Final answer
    x = 5,131.34

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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.