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Finding the Fourth Proportional to 11,615.57, 16,029.84 and 6,835.88

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Solution

The fourth proportional to 11,615.57, 16,029.84 and 6,835.88 is: 9,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.57 : 16,029.84 = 6,835.88 : x
  2. Step 2: Convert to fraction form
    11,615.57/16,029.84 = 6,835.88/x
  3. Step 3: Cross multiply
    11,615.57x = 16,029.84 × 6,835.88
  4. Step 4: Simplify right side
    11,615.57x = 109,578,062.66
  5. Step 5: Solve for x
    x = 109,578,062.66/11,615.57
  6. Step 6: Final answer
    x = 9,433.72

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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.