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Finding the Fourth Proportional to 6,034.44, 9,038.64 and 4,982.64

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Solution

The fourth proportional to 6,034.44, 9,038.64 and 4,982.64 is: 7,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.44 : 9,038.64 = 4,982.64 : x
  2. Step 2: Convert to fraction form
    6,034.44/9,038.64 = 4,982.64/x
  3. Step 3: Cross multiply
    6,034.44x = 9,038.64 × 4,982.64
  4. Step 4: Simplify right side
    6,034.44x = 45,036,289.21
  5. Step 5: Solve for x
    x = 45,036,289.21/6,034.44
  6. Step 6: Final answer
    x = 7,463.21

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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.