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Finding the Fourth Proportional to 11,776.46, 16,252.65 and 6,741.09

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Solution

The fourth proportional to 11,776.46, 16,252.65 and 6,741.09 is: 9,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.46 : 16,252.65 = 6,741.09 : x
  2. Step 2: Convert to fraction form
    11,776.46/16,252.65 = 6,741.09/x
  3. Step 3: Cross multiply
    11,776.46x = 16,252.65 × 6,741.09
  4. Step 4: Simplify right side
    11,776.46x = 109,560,576.39
  5. Step 5: Solve for x
    x = 109,560,576.39/11,776.46
  6. Step 6: Final answer
    x = 9,303.36

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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.