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Finding the Fourth Proportional to 14,571.26, 20,108.32 and 7,947.26

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Solution

The fourth proportional to 14,571.26, 20,108.32 and 7,947.26 is: 10,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.26 : 20,108.32 = 7,947.26 : x
  2. Step 2: Convert to fraction form
    14,571.26/20,108.32 = 7,947.26/x
  3. Step 3: Cross multiply
    14,571.26x = 20,108.32 × 7,947.26
  4. Step 4: Simplify right side
    14,571.26x = 159,806,047.20
  5. Step 5: Solve for x
    x = 159,806,047.20/14,571.26
  6. Step 6: Final answer
    x = 10,967.21

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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.