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Finding the Fourth Proportional to 6,257.76, 8,635.86 and 3,463.26

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Solution

The fourth proportional to 6,257.76, 8,635.86 and 3,463.26 is: 4,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.76 : 8,635.86 = 3,463.26 : x
  2. Step 2: Convert to fraction form
    6,257.76/8,635.86 = 3,463.26/x
  3. Step 3: Cross multiply
    6,257.76x = 8,635.86 × 3,463.26
  4. Step 4: Simplify right side
    6,257.76x = 29,908,228.50
  5. Step 5: Solve for x
    x = 29,908,228.50/6,257.76
  6. Step 6: Final answer
    x = 4,779.38

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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.