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Finding the Fourth Proportional to 13,706.75, 18,915.22 and 7,739.58

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Solution

The fourth proportional to 13,706.75, 18,915.22 and 7,739.58 is: 10,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.75 : 18,915.22 = 7,739.58 : x
  2. Step 2: Convert to fraction form
    13,706.75/18,915.22 = 7,739.58/x
  3. Step 3: Cross multiply
    13,706.75x = 18,915.22 × 7,739.58
  4. Step 4: Simplify right side
    13,706.75x = 146,395,939.01
  5. Step 5: Solve for x
    x = 146,395,939.01/13,706.75
  6. Step 6: Final answer
    x = 10,680.57

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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.