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Finding the Fourth Proportional to 11,029.77, 16,458.86 and 9,733.77

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Solution

The fourth proportional to 11,029.77, 16,458.86 and 9,733.77 is: 14,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.77 : 16,458.86 = 9,733.77 : x
  2. Step 2: Convert to fraction form
    11,029.77/16,458.86 = 9,733.77/x
  3. Step 3: Cross multiply
    11,029.77x = 16,458.86 × 9,733.77
  4. Step 4: Simplify right side
    11,029.77x = 160,206,782.04
  5. Step 5: Solve for x
    x = 160,206,782.04/11,029.77
  6. Step 6: Final answer
    x = 14,524.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.