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Finding the Fourth Proportional to 6,607.82, 9,900.74 and 4,655.90

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Solution

The fourth proportional to 6,607.82, 9,900.74 and 4,655.90 is: 6,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.82 : 9,900.74 = 4,655.90 : x
  2. Step 2: Convert to fraction form
    6,607.82/9,900.74 = 4,655.90/x
  3. Step 3: Cross multiply
    6,607.82x = 9,900.74 × 4,655.90
  4. Step 4: Simplify right side
    6,607.82x = 46,096,855.37
  5. Step 5: Solve for x
    x = 46,096,855.37/6,607.82
  6. Step 6: Final answer
    x = 6,976.11

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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.