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Finding the Fourth Proportional to 6,457.95, 9,662.48 and 3,826.87

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Solution

The fourth proportional to 6,457.95, 9,662.48 and 3,826.87 is: 5,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.95 : 9,662.48 = 3,826.87 : x
  2. Step 2: Convert to fraction form
    6,457.95/9,662.48 = 3,826.87/x
  3. Step 3: Cross multiply
    6,457.95x = 9,662.48 × 3,826.87
  4. Step 4: Simplify right side
    6,457.95x = 36,977,054.84
  5. Step 5: Solve for x
    x = 36,977,054.84/6,457.95
  6. Step 6: Final answer
    x = 5,725.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.