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Finding the Fourth Proportional to 13,745.70, 18,963.70 and 8,971.26

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Solution

The fourth proportional to 13,745.70, 18,963.70 and 8,971.26 is: 12,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.70 : 18,963.70 = 8,971.26 : x
  2. Step 2: Convert to fraction form
    13,745.70/18,963.70 = 8,971.26/x
  3. Step 3: Cross multiply
    13,745.70x = 18,963.70 × 8,971.26
  4. Step 4: Simplify right side
    13,745.70x = 170,128,283.26
  5. Step 5: Solve for x
    x = 170,128,283.26/13,745.70
  6. Step 6: Final answer
    x = 12,376.84

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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.