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Finding the Fourth Proportional to 12,509.44, 17,263.02 and 7,793.72

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Solution

The fourth proportional to 12,509.44, 17,263.02 and 7,793.72 is: 10,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.44 : 17,263.02 = 7,793.72 : x
  2. Step 2: Convert to fraction form
    12,509.44/17,263.02 = 7,793.72/x
  3. Step 3: Cross multiply
    12,509.44x = 17,263.02 × 7,793.72
  4. Step 4: Simplify right side
    12,509.44x = 134,543,151.88
  5. Step 5: Solve for x
    x = 134,543,151.88/12,509.44
  6. Step 6: Final answer
    x = 10,755.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.