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Finding the Fourth Proportional to 7,270.80, 10,032.86 and 4,083.41

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Solution

The fourth proportional to 7,270.80, 10,032.86 and 4,083.41 is: 5,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.80 : 10,032.86 = 4,083.41 : x
  2. Step 2: Convert to fraction form
    7,270.80/10,032.86 = 4,083.41/x
  3. Step 3: Cross multiply
    7,270.80x = 10,032.86 × 4,083.41
  4. Step 4: Simplify right side
    7,270.80x = 40,968,316.14
  5. Step 5: Solve for x
    x = 40,968,316.14/7,270.80
  6. Step 6: Final answer
    x = 5,634.64

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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.