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Finding the Fourth Proportional to 13,706.61, 18,915.12 and 7,418.97

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Solution

The fourth proportional to 13,706.61, 18,915.12 and 7,418.97 is: 10,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.61 : 18,915.12 = 7,418.97 : x
  2. Step 2: Convert to fraction form
    13,706.61/18,915.12 = 7,418.97/x
  3. Step 3: Cross multiply
    13,706.61x = 18,915.12 × 7,418.97
  4. Step 4: Simplify right side
    13,706.61x = 140,330,707.83
  5. Step 5: Solve for x
    x = 140,330,707.83/13,706.61
  6. Step 6: Final answer
    x = 10,238.18

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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.