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Finding the Fourth Proportional to 6,410, 8,846.76 and 3,927.44

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Solution

The fourth proportional to 6,410, 8,846.76 and 3,927.44 is: 5,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 8,846.76 = 3,927.44 : x
  2. Step 2: Convert to fraction form
    6,410/8,846.76 = 3,927.44/x
  3. Step 3: Cross multiply
    6,410x = 8,846.76 × 3,927.44
  4. Step 4: Simplify right side
    6,410x = 34,745,119.09
  5. Step 5: Solve for x
    x = 34,745,119.09/6,410
  6. Step 6: Final answer
    x = 5,420.46

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Double scale
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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.