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Finding the Fourth Proportional to 13,706.88, 18,915.90 and 8,327.52

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Solution

The fourth proportional to 13,706.88, 18,915.90 and 8,327.52 is: 11,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.88 : 18,915.90 = 8,327.52 : x
  2. Step 2: Convert to fraction form
    13,706.88/18,915.90 = 8,327.52/x
  3. Step 3: Cross multiply
    13,706.88x = 18,915.90 × 8,327.52
  4. Step 4: Simplify right side
    13,706.88x = 157,522,535.57
  5. Step 5: Solve for x
    x = 157,522,535.57/13,706.88
  6. Step 6: Final answer
    x = 11,492.22

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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.