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Finding the Fourth Proportional to 6,227.42, 8,590.64 and 3,865.46

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Solution

The fourth proportional to 6,227.42, 8,590.64 and 3,865.46 is: 5,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.42 : 8,590.64 = 3,865.46 : x
  2. Step 2: Convert to fraction form
    6,227.42/8,590.64 = 3,865.46/x
  3. Step 3: Cross multiply
    6,227.42x = 8,590.64 × 3,865.46
  4. Step 4: Simplify right side
    6,227.42x = 33,206,713.01
  5. Step 5: Solve for x
    x = 33,206,713.01/6,227.42
  6. Step 6: Final answer
    x = 5,332.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.