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Finding the Fourth Proportional to 28,409.48, 42,593.22 and 9,684.56

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Solution

The fourth proportional to 28,409.48, 42,593.22 and 9,684.56 is: 14,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,409.48 : 42,593.22 = 9,684.56 : x
  2. Step 2: Convert to fraction form
    28,409.48/42,593.22 = 9,684.56/x
  3. Step 3: Cross multiply
    28,409.48x = 42,593.22 × 9,684.56
  4. Step 4: Simplify right side
    28,409.48x = 412,496,594.68
  5. Step 5: Solve for x
    x = 412,496,594.68/28,409.48
  6. Step 6: Final answer
    x = 14,519.68

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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.