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Finding the Fourth Proportional to 9,113.76, 13,672.26 and 6,949.44

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Solution

The fourth proportional to 9,113.76, 13,672.26 and 6,949.44 is: 10,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.76 : 13,672.26 = 6,949.44 : x
  2. Step 2: Convert to fraction form
    9,113.76/13,672.26 = 6,949.44/x
  3. Step 3: Cross multiply
    9,113.76x = 13,672.26 × 6,949.44
  4. Step 4: Simplify right side
    9,113.76x = 95,014,550.53
  5. Step 5: Solve for x
    x = 95,014,550.53/9,113.76
  6. Step 6: Final answer
    x = 10,425.40

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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.