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Finding the Fourth Proportional to 9,302.76, 13,949.70 and 5,408.28

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Solution

The fourth proportional to 9,302.76, 13,949.70 and 5,408.28 is: 8,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.76 : 13,949.70 = 5,408.28 : x
  2. Step 2: Convert to fraction form
    9,302.76/13,949.70 = 5,408.28/x
  3. Step 3: Cross multiply
    9,302.76x = 13,949.70 × 5,408.28
  4. Step 4: Simplify right side
    9,302.76x = 75,443,883.52
  5. Step 5: Solve for x
    x = 75,443,883.52/9,302.76
  6. Step 6: Final answer
    x = 8,109.84

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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.