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Finding the Fourth Proportional to 6,907.91, 9,533.16 and 3,923.60

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Solution

The fourth proportional to 6,907.91, 9,533.16 and 3,923.60 is: 5,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.91 : 9,533.16 = 3,923.60 : x
  2. Step 2: Convert to fraction form
    6,907.91/9,533.16 = 3,923.60/x
  3. Step 3: Cross multiply
    6,907.91x = 9,533.16 × 3,923.60
  4. Step 4: Simplify right side
    6,907.91x = 37,404,258.91
  5. Step 5: Solve for x
    x = 37,404,258.91/6,907.91
  6. Step 6: Final answer
    x = 5,414.70

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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.