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Finding the Fourth Proportional to 5,766.24, 7,959.42 and 4,996.32

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Solution

The fourth proportional to 5,766.24, 7,959.42 and 4,996.32 is: 6,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.24 : 7,959.42 = 4,996.32 : x
  2. Step 2: Convert to fraction form
    5,766.24/7,959.42 = 4,996.32/x
  3. Step 3: Cross multiply
    5,766.24x = 7,959.42 × 4,996.32
  4. Step 4: Simplify right side
    5,766.24x = 39,767,809.33
  5. Step 5: Solve for x
    x = 39,767,809.33/5,766.24
  6. Step 6: Final answer
    x = 6,896.66

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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.