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Finding the Fourth Proportional to 4,804.60, 7,223.10 and 4,091.80

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Solution

The fourth proportional to 4,804.60, 7,223.10 and 4,091.80 is: 6,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.60 : 7,223.10 = 4,091.80 : x
  2. Step 2: Convert to fraction form
    4,804.60/7,223.10 = 4,091.80/x
  3. Step 3: Cross multiply
    4,804.60x = 7,223.10 × 4,091.80
  4. Step 4: Simplify right side
    4,804.60x = 29,555,480.58
  5. Step 5: Solve for x
    x = 29,555,480.58/4,804.60
  6. Step 6: Final answer
    x = 6,151.50

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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.