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Finding the Fourth Proportional to 6,303.44, 9,452.76 and 3,014

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Solution

The fourth proportional to 6,303.44, 9,452.76 and 3,014 is: 4,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.44 : 9,452.76 = 3,014 : x
  2. Step 2: Convert to fraction form
    6,303.44/9,452.76 = 3,014/x
  3. Step 3: Cross multiply
    6,303.44x = 9,452.76 × 3,014
  4. Step 4: Simplify right side
    6,303.44x = 28,490,618.64
  5. Step 5: Solve for x
    x = 28,490,618.64/6,303.44
  6. Step 6: Final answer
    x = 4,519.85

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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.