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Finding the Fourth Proportional to 6,257.81, 8,635.86 and 3,463.31

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Solution

The fourth proportional to 6,257.81, 8,635.86 and 3,463.31 is: 4,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.81 : 8,635.86 = 3,463.31 : x
  2. Step 2: Convert to fraction form
    6,257.81/8,635.86 = 3,463.31/x
  3. Step 3: Cross multiply
    6,257.81x = 8,635.86 × 3,463.31
  4. Step 4: Simplify right side
    6,257.81x = 29,908,617.12
  5. Step 5: Solve for x
    x = 29,908,617.12/6,257.81
  6. Step 6: Final answer
    x = 4,779.41

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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.