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Finding the Fourth Proportional to 6,558.53, 9,840.86 and 3,271.87

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Solution

The fourth proportional to 6,558.53, 9,840.86 and 3,271.87 is: 4,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.53 : 9,840.86 = 3,271.87 : x
  2. Step 2: Convert to fraction form
    6,558.53/9,840.86 = 3,271.87/x
  3. Step 3: Cross multiply
    6,558.53x = 9,840.86 × 3,271.87
  4. Step 4: Simplify right side
    6,558.53x = 32,197,998.19
  5. Step 5: Solve for x
    x = 32,197,998.19/6,558.53
  6. Step 6: Final answer
    x = 4,909.34

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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.