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Finding the Fourth Proportional to 6,022.80, 8,307 and 4,252.56

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Solution

The fourth proportional to 6,022.80, 8,307 and 4,252.56 is: 5,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.80 : 8,307 = 4,252.56 : x
  2. Step 2: Convert to fraction form
    6,022.80/8,307 = 4,252.56/x
  3. Step 3: Cross multiply
    6,022.80x = 8,307 × 4,252.56
  4. Step 4: Simplify right side
    6,022.80x = 35,326,015.92
  5. Step 5: Solve for x
    x = 35,326,015.92/6,022.80
  6. Step 6: Final answer
    x = 5,865.38

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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.