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Finding the Fourth Proportional to 6,907.76, 9,532.74 and 3,923.62

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Solution

The fourth proportional to 6,907.76, 9,532.74 and 3,923.62 is: 5,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.76 : 9,532.74 = 3,923.62 : x
  2. Step 2: Convert to fraction form
    6,907.76/9,532.74 = 3,923.62/x
  3. Step 3: Cross multiply
    6,907.76x = 9,532.74 × 3,923.62
  4. Step 4: Simplify right side
    6,907.76x = 37,402,871.75
  5. Step 5: Solve for x
    x = 37,402,871.75/6,907.76
  6. Step 6: Final answer
    x = 5,414.61

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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.