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Finding the Fourth Proportional to 6,349.57, 9,530.50 and 3,064.98

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Solution

The fourth proportional to 6,349.57, 9,530.50 and 3,064.98 is: 4,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.57 : 9,530.50 = 3,064.98 : x
  2. Step 2: Convert to fraction form
    6,349.57/9,530.50 = 3,064.98/x
  3. Step 3: Cross multiply
    6,349.57x = 9,530.50 × 3,064.98
  4. Step 4: Simplify right side
    6,349.57x = 29,210,744.24
  5. Step 5: Solve for x
    x = 29,210,744.24/6,349.57
  6. Step 6: Final answer
    x = 4,600.43

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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.