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Finding the Fourth Proportional to 6,907.74, 9,532.64 and 3,763.86

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Solution

The fourth proportional to 6,907.74, 9,532.64 and 3,763.86 is: 5,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.74 : 9,532.64 = 3,763.86 : x
  2. Step 2: Convert to fraction form
    6,907.74/9,532.64 = 3,763.86/x
  3. Step 3: Cross multiply
    6,907.74x = 9,532.64 × 3,763.86
  4. Step 4: Simplify right side
    6,907.74x = 35,879,503.57
  5. Step 5: Solve for x
    x = 35,879,503.57/6,907.74
  6. Step 6: Final answer
    x = 5,194.10

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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.