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Finding the Fourth Proportional to 6,907.34, 9,532.19 and 3,923.23

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Solution

The fourth proportional to 6,907.34, 9,532.19 and 3,923.23 is: 5,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.34 : 9,532.19 = 3,923.23 : x
  2. Step 2: Convert to fraction form
    6,907.34/9,532.19 = 3,923.23/x
  3. Step 3: Cross multiply
    6,907.34x = 9,532.19 × 3,923.23
  4. Step 4: Simplify right side
    6,907.34x = 37,396,930.33
  5. Step 5: Solve for x
    x = 37,396,930.33/6,907.34
  6. Step 6: Final answer
    x = 5,414.09

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Half scale
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Double scale
Find fourth proportional to 6,908.34, 9,533.57 and 3,924.23
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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.