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Finding the Fourth Proportional to 5,023.36, 6,932 and 2,927.44

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Solution

The fourth proportional to 5,023.36, 6,932 and 2,927.44 is: 4,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.36 : 6,932 = 2,927.44 : x
  2. Step 2: Convert to fraction form
    5,023.36/6,932 = 2,927.44/x
  3. Step 3: Cross multiply
    5,023.36x = 6,932 × 2,927.44
  4. Step 4: Simplify right side
    5,023.36x = 20,293,014.08
  5. Step 5: Solve for x
    x = 20,293,014.08/5,023.36
  6. Step 6: Final answer
    x = 4,039.73

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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.