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Finding the Fourth Proportional to 25,469.34, 38,207.14 and 6,749.78

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Solution

The fourth proportional to 25,469.34, 38,207.14 and 6,749.78 is: 10,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.34 : 38,207.14 = 6,749.78 : x
  2. Step 2: Convert to fraction form
    25,469.34/38,207.14 = 6,749.78/x
  3. Step 3: Cross multiply
    25,469.34x = 38,207.14 × 6,749.78
  4. Step 4: Simplify right side
    25,469.34x = 257,889,834.40
  5. Step 5: Solve for x
    x = 257,889,834.40/25,469.34
  6. Step 6: Final answer
    x = 10,125.50

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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.