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Finding the Fourth Proportional to 6,023.74, 8,313.64 and 3,471

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Solution

The fourth proportional to 6,023.74, 8,313.64 and 3,471 is: 4,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.74 : 8,313.64 = 3,471 : x
  2. Step 2: Convert to fraction form
    6,023.74/8,313.64 = 3,471/x
  3. Step 3: Cross multiply
    6,023.74x = 8,313.64 × 3,471
  4. Step 4: Simplify right side
    6,023.74x = 28,856,627.09
  5. Step 5: Solve for x
    x = 28,856,627.09/6,023.74
  6. Step 6: Final answer
    x = 4,790.48

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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.