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Finding the Fourth Proportional to 12,265.50, 16,921.77 and 7,483.77

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Solution

The fourth proportional to 12,265.50, 16,921.77 and 7,483.77 is: 10,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.50 : 16,921.77 = 7,483.77 : x
  2. Step 2: Convert to fraction form
    12,265.50/16,921.77 = 7,483.77/x
  3. Step 3: Cross multiply
    12,265.50x = 16,921.77 × 7,483.77
  4. Step 4: Simplify right side
    12,265.50x = 126,638,634.67
  5. Step 5: Solve for x
    x = 126,638,634.67/12,265.50
  6. Step 6: Final answer
    x = 10,324.78

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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.