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Finding the Fourth Proportional to 7,171, 10,733.47 and 3,830.90

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Solution

The fourth proportional to 7,171, 10,733.47 and 3,830.90 is: 5,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171 : 10,733.47 = 3,830.90 : x
  2. Step 2: Convert to fraction form
    7,171/10,733.47 = 3,830.90/x
  3. Step 3: Cross multiply
    7,171x = 10,733.47 × 3,830.90
  4. Step 4: Simplify right side
    7,171x = 41,118,850.22
  5. Step 5: Solve for x
    x = 41,118,850.22/7,171
  6. Step 6: Final answer
    x = 5,734.05

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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.