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Finding the Fourth Proportional to 6,303.96, 9,446.61 and 5,611.92

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Solution

The fourth proportional to 6,303.96, 9,446.61 and 5,611.92 is: 8,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.96 : 9,446.61 = 5,611.92 : x
  2. Step 2: Convert to fraction form
    6,303.96/9,446.61 = 5,611.92/x
  3. Step 3: Cross multiply
    6,303.96x = 9,446.61 × 5,611.92
  4. Step 4: Simplify right side
    6,303.96x = 53,013,619.59
  5. Step 5: Solve for x
    x = 53,013,619.59/6,303.96
  6. Step 6: Final answer
    x = 8,409.57

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1.5x scale

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.