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Finding the Fourth Proportional to 25,469.76, 38,206.35 and 6,749.55

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Solution

The fourth proportional to 25,469.76, 38,206.35 and 6,749.55 is: 10,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.76 : 38,206.35 = 6,749.55 : x
  2. Step 2: Convert to fraction form
    25,469.76/38,206.35 = 6,749.55/x
  3. Step 3: Cross multiply
    25,469.76x = 38,206.35 × 6,749.55
  4. Step 4: Simplify right side
    25,469.76x = 257,875,669.64
  5. Step 5: Solve for x
    x = 257,875,669.64/25,469.76
  6. Step 6: Final answer
    x = 10,124.78

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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.