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Finding the Fourth Proportional to 12,764.08, 17,614.44 and 7,458.76

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Solution

The fourth proportional to 12,764.08, 17,614.44 and 7,458.76 is: 10,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.08 : 17,614.44 = 7,458.76 : x
  2. Step 2: Convert to fraction form
    12,764.08/17,614.44 = 7,458.76/x
  3. Step 3: Cross multiply
    12,764.08x = 17,614.44 × 7,458.76
  4. Step 4: Simplify right side
    12,764.08x = 131,381,880.49
  5. Step 5: Solve for x
    x = 131,381,880.49/12,764.08
  6. Step 6: Final answer
    x = 10,293.09

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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.