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Finding the Fourth Proportional to 8,035.71, 12,057.21 and 4,140.42

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Solution

The fourth proportional to 8,035.71, 12,057.21 and 4,140.42 is: 6,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.71 : 12,057.21 = 4,140.42 : x
  2. Step 2: Convert to fraction form
    8,035.71/12,057.21 = 4,140.42/x
  3. Step 3: Cross multiply
    8,035.71x = 12,057.21 × 4,140.42
  4. Step 4: Simplify right side
    8,035.71x = 49,921,913.43
  5. Step 5: Solve for x
    x = 49,921,913.43/8,035.71
  6. Step 6: Final answer
    x = 6,212.51

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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.