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Finding the Fourth Proportional to 7,047.75, 10,571.22 and 2,117.28

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Solution

The fourth proportional to 7,047.75, 10,571.22 and 2,117.28 is: 3,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.75 : 10,571.22 = 2,117.28 : x
  2. Step 2: Convert to fraction form
    7,047.75/10,571.22 = 2,117.28/x
  3. Step 3: Cross multiply
    7,047.75x = 10,571.22 × 2,117.28
  4. Step 4: Simplify right side
    7,047.75x = 22,382,232.68
  5. Step 5: Solve for x
    x = 22,382,232.68/7,047.75
  6. Step 6: Final answer
    x = 3,175.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.