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Finding the Fourth Proportional to 11,706.53, 17,532.05 and 6,711.61

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Solution

The fourth proportional to 11,706.53, 17,532.05 and 6,711.61 is: 10,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.53 : 17,532.05 = 6,711.61 : x
  2. Step 2: Convert to fraction form
    11,706.53/17,532.05 = 6,711.61/x
  3. Step 3: Cross multiply
    11,706.53x = 17,532.05 × 6,711.61
  4. Step 4: Simplify right side
    11,706.53x = 117,668,286.89
  5. Step 5: Solve for x
    x = 117,668,286.89/11,706.53
  6. Step 6: Final answer
    x = 10,051.51

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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.