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Finding the Fourth Proportional to 11,706.76, 17,544.66 and 7,011.64

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Solution

The fourth proportional to 11,706.76, 17,544.66 and 7,011.64 is: 10,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.76 : 17,544.66 = 7,011.64 : x
  2. Step 2: Convert to fraction form
    11,706.76/17,544.66 = 7,011.64/x
  3. Step 3: Cross multiply
    11,706.76x = 17,544.66 × 7,011.64
  4. Step 4: Simplify right side
    11,706.76x = 123,016,839.84
  5. Step 5: Solve for x
    x = 123,016,839.84/11,706.76
  6. Step 6: Final answer
    x = 10,508.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.