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Finding the Fourth Proportional to 13,706.69, 18,915.08 and 7,738.61

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Solution

The fourth proportional to 13,706.69, 18,915.08 and 7,738.61 is: 10,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.69 : 18,915.08 = 7,738.61 : x
  2. Step 2: Convert to fraction form
    13,706.69/18,915.08 = 7,738.61/x
  3. Step 3: Cross multiply
    13,706.69x = 18,915.08 × 7,738.61
  4. Step 4: Simplify right side
    13,706.69x = 146,376,475.33
  5. Step 5: Solve for x
    x = 146,376,475.33/13,706.69
  6. Step 6: Final answer
    x = 10,679.20

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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.