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Finding the Fourth Proportional to 6,534.42, 9,786.51 and 5,137.98

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Solution

The fourth proportional to 6,534.42, 9,786.51 and 5,137.98 is: 7,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.42 : 9,786.51 = 5,137.98 : x
  2. Step 2: Convert to fraction form
    6,534.42/9,786.51 = 5,137.98/x
  3. Step 3: Cross multiply
    6,534.42x = 9,786.51 × 5,137.98
  4. Step 4: Simplify right side
    6,534.42x = 50,282,892.65
  5. Step 5: Solve for x
    x = 50,282,892.65/6,534.42
  6. Step 6: Final answer
    x = 7,695.08

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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.