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Finding the Fourth Proportional to 6,493.16, 9,739.75 and 5,014.55

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Solution

The fourth proportional to 6,493.16, 9,739.75 and 5,014.55 is: 7,521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.16 : 9,739.75 = 5,014.55 : x
  2. Step 2: Convert to fraction form
    6,493.16/9,739.75 = 5,014.55/x
  3. Step 3: Cross multiply
    6,493.16x = 9,739.75 × 5,014.55
  4. Step 4: Simplify right side
    6,493.16x = 48,840,463.36
  5. Step 5: Solve for x
    x = 48,840,463.36/6,493.16
  6. Step 6: Final answer
    x = 7,521.83

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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.