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Finding the Fourth Proportional to 12,951.96, 17,873.77 and 7,649.39

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Solution

The fourth proportional to 12,951.96, 17,873.77 and 7,649.39 is: 10,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.96 : 17,873.77 = 7,649.39 : x
  2. Step 2: Convert to fraction form
    12,951.96/17,873.77 = 7,649.39/x
  3. Step 3: Cross multiply
    12,951.96x = 17,873.77 × 7,649.39
  4. Step 4: Simplify right side
    12,951.96x = 136,723,437.50
  5. Step 5: Solve for x
    x = 136,723,437.50/12,951.96
  6. Step 6: Final answer
    x = 10,556.20

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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.