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Finding the Fourth Proportional to 6,381.68, 9,574.46 and 3,263.87

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Solution

The fourth proportional to 6,381.68, 9,574.46 and 3,263.87 is: 4,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.68 : 9,574.46 = 3,263.87 : x
  2. Step 2: Convert to fraction form
    6,381.68/9,574.46 = 3,263.87/x
  3. Step 3: Cross multiply
    6,381.68x = 9,574.46 × 3,263.87
  4. Step 4: Simplify right side
    6,381.68x = 31,249,792.76
  5. Step 5: Solve for x
    x = 31,249,792.76/6,381.68
  6. Step 6: Final answer
    x = 4,896.80

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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.