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Finding the Fourth Proportional to 6,102.40, 9,163.20 and 3,510.40

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Solution

The fourth proportional to 6,102.40, 9,163.20 and 3,510.40 is: 5,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.40 : 9,163.20 = 3,510.40 : x
  2. Step 2: Convert to fraction form
    6,102.40/9,163.20 = 3,510.40/x
  3. Step 3: Cross multiply
    6,102.40x = 9,163.20 × 3,510.40
  4. Step 4: Simplify right side
    6,102.40x = 32,166,497.28
  5. Step 5: Solve for x
    x = 32,166,497.28/6,102.40
  6. Step 6: Final answer
    x = 5,271.12

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1.5x scale

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.