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Finding the Fourth Proportional to 25,606.68, 38,409.84 and 7,138.68

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Solution

The fourth proportional to 25,606.68, 38,409.84 and 7,138.68 is: 10,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606.68 : 38,409.84 = 7,138.68 : x
  2. Step 2: Convert to fraction form
    25,606.68/38,409.84 = 7,138.68/x
  3. Step 3: Cross multiply
    25,606.68x = 38,409.84 × 7,138.68
  4. Step 4: Simplify right side
    25,606.68x = 274,195,556.61
  5. Step 5: Solve for x
    x = 274,195,556.61/25,606.68
  6. Step 6: Final answer
    x = 10,707.97

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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.