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Finding the Fourth Proportional to 5,106.30, 7,163.40 and 5,106.30

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Solution

The fourth proportional to 5,106.30, 7,163.40 and 5,106.30 is: 7,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.30 : 7,163.40 = 5,106.30 : x
  2. Step 2: Convert to fraction form
    5,106.30/7,163.40 = 5,106.30/x
  3. Step 3: Cross multiply
    5,106.30x = 7,163.40 × 5,106.30
  4. Step 4: Simplify right side
    5,106.30x = 36,578,469.42
  5. Step 5: Solve for x
    x = 36,578,469.42/5,106.30
  6. Step 6: Final answer
    x = 7,163.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.