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Finding the Fourth Proportional to 7,801.92, 11,704.93 and 2,804.80

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Solution

The fourth proportional to 7,801.92, 11,704.93 and 2,804.80 is: 4,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.92 : 11,704.93 = 2,804.80 : x
  2. Step 2: Convert to fraction form
    7,801.92/11,704.93 = 2,804.80/x
  3. Step 3: Cross multiply
    7,801.92x = 11,704.93 × 2,804.80
  4. Step 4: Simplify right side
    7,801.92x = 32,829,951.39
  5. Step 5: Solve for x
    x = 32,829,951.39/7,801.92
  6. Step 6: Final answer
    x = 4,207.93

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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.