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Finding the Fourth Proportional to 7,034.86, 9,696.94 and 5,540.41

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Solution

The fourth proportional to 7,034.86, 9,696.94 and 5,540.41 is: 7,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.86 : 9,696.94 = 5,540.41 : x
  2. Step 2: Convert to fraction form
    7,034.86/9,696.94 = 5,540.41/x
  3. Step 3: Cross multiply
    7,034.86x = 9,696.94 × 5,540.41
  4. Step 4: Simplify right side
    7,034.86x = 53,724,985.25
  5. Step 5: Solve for x
    x = 53,724,985.25/7,034.86
  6. Step 6: Final answer
    x = 7,636.97

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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.