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Finding the Fourth Proportional to 12,764.70, 17,614.26 and 7,458.93

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Solution

The fourth proportional to 12,764.70, 17,614.26 and 7,458.93 is: 10,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.70 : 17,614.26 = 7,458.93 : x
  2. Step 2: Convert to fraction form
    12,764.70/17,614.26 = 7,458.93/x
  3. Step 3: Cross multiply
    12,764.70x = 17,614.26 × 7,458.93
  4. Step 4: Simplify right side
    12,764.70x = 131,383,532.34
  5. Step 5: Solve for x
    x = 131,383,532.34/12,764.70
  6. Step 6: Final answer
    x = 10,292.72

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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.