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Finding the Fourth Proportional to 6,807.21, 10,208.19 and 4,034.64

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Solution

The fourth proportional to 6,807.21, 10,208.19 and 4,034.64 is: 6,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.21 : 10,208.19 = 4,034.64 : x
  2. Step 2: Convert to fraction form
    6,807.21/10,208.19 = 4,034.64/x
  3. Step 3: Cross multiply
    6,807.21x = 10,208.19 × 4,034.64
  4. Step 4: Simplify right side
    6,807.21x = 41,186,425.11
  5. Step 5: Solve for x
    x = 41,186,425.11/6,807.21
  6. Step 6: Final answer
    x = 6,050.42

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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.