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Finding the Fourth Proportional to 4,999.97, 6,896.23 and 4,433.47

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Solution

The fourth proportional to 4,999.97, 6,896.23 and 4,433.47 is: 6,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.97 : 6,896.23 = 4,433.47 : x
  2. Step 2: Convert to fraction form
    4,999.97/6,896.23 = 4,433.47/x
  3. Step 3: Cross multiply
    4,999.97x = 6,896.23 × 4,433.47
  4. Step 4: Simplify right side
    4,999.97x = 30,574,228.82
  5. Step 5: Solve for x
    x = 30,574,228.82/4,999.97
  6. Step 6: Final answer
    x = 6,114.88

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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.