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Finding the Fourth Proportional to 6,840.78, 9,440.69 and 3,856.74

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Solution

The fourth proportional to 6,840.78, 9,440.69 and 3,856.74 is: 5,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.78 : 9,440.69 = 3,856.74 : x
  2. Step 2: Convert to fraction form
    6,840.78/9,440.69 = 3,856.74/x
  3. Step 3: Cross multiply
    6,840.78x = 9,440.69 × 3,856.74
  4. Step 4: Simplify right side
    6,840.78x = 36,410,267.47
  5. Step 5: Solve for x
    x = 36,410,267.47/6,840.78
  6. Step 6: Final answer
    x = 5,322.53

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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.