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Finding the Fourth Proportional to 6,655.53, 9,984.21 and 2,271.81

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Solution

The fourth proportional to 6,655.53, 9,984.21 and 2,271.81 is: 3,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.53 : 9,984.21 = 2,271.81 : x
  2. Step 2: Convert to fraction form
    6,655.53/9,984.21 = 2,271.81/x
  3. Step 3: Cross multiply
    6,655.53x = 9,984.21 × 2,271.81
  4. Step 4: Simplify right side
    6,655.53x = 22,682,228.12
  5. Step 5: Solve for x
    x = 22,682,228.12/6,655.53
  6. Step 6: Final answer
    x = 3,408.03

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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.