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Finding the Fourth Proportional to 30,396.34, 45,600.42 and 11,675

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Solution

The fourth proportional to 30,396.34, 45,600.42 and 11,675 is: 17,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396.34 : 45,600.42 = 11,675 : x
  2. Step 2: Convert to fraction form
    30,396.34/45,600.42 = 11,675/x
  3. Step 3: Cross multiply
    30,396.34x = 45,600.42 × 11,675
  4. Step 4: Simplify right side
    30,396.34x = 532,384,903.50
  5. Step 5: Solve for x
    x = 532,384,903.50/30,396.34
  6. Step 6: Final answer
    x = 17,514.77

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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.