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Finding the Fourth Proportional to 6,907.54, 9,532.56 and 3,923.20

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Solution

The fourth proportional to 6,907.54, 9,532.56 and 3,923.20 is: 5,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.54 : 9,532.56 = 3,923.20 : x
  2. Step 2: Convert to fraction form
    6,907.54/9,532.56 = 3,923.20/x
  3. Step 3: Cross multiply
    6,907.54x = 9,532.56 × 3,923.20
  4. Step 4: Simplify right side
    6,907.54x = 37,398,139.39
  5. Step 5: Solve for x
    x = 37,398,139.39/6,907.54
  6. Step 6: Final answer
    x = 5,414.10

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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.