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Finding the Fourth Proportional to 11,571.41, 15,968.54 and 6,266.22

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Solution

The fourth proportional to 11,571.41, 15,968.54 and 6,266.22 is: 8,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.41 : 15,968.54 = 6,266.22 : x
  2. Step 2: Convert to fraction form
    11,571.41/15,968.54 = 6,266.22/x
  3. Step 3: Cross multiply
    11,571.41x = 15,968.54 × 6,266.22
  4. Step 4: Simplify right side
    11,571.41x = 100,062,353.39
  5. Step 5: Solve for x
    x = 100,062,353.39/11,571.41
  6. Step 6: Final answer
    x = 8,647.38

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Double scale
Find fourth proportional to 11,572.41, 15,969.91 and 6,267.22
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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.