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Finding the Fourth Proportional to 6,007.71, 9,002.93 and 3,405.15

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Solution

The fourth proportional to 6,007.71, 9,002.93 and 3,405.15 is: 5,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.71 : 9,002.93 = 3,405.15 : x
  2. Step 2: Convert to fraction form
    6,007.71/9,002.93 = 3,405.15/x
  3. Step 3: Cross multiply
    6,007.71x = 9,002.93 × 3,405.15
  4. Step 4: Simplify right side
    6,007.71x = 30,656,310.06
  5. Step 5: Solve for x
    x = 30,656,310.06/6,007.71
  6. Step 6: Final answer
    x = 5,102.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.