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Finding the Fourth Proportional to 7,804.25, 10,771.43 and 4,974.98

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Solution

The fourth proportional to 7,804.25, 10,771.43 and 4,974.98 is: 6,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.25 : 10,771.43 = 4,974.98 : x
  2. Step 2: Convert to fraction form
    7,804.25/10,771.43 = 4,974.98/x
  3. Step 3: Cross multiply
    7,804.25x = 10,771.43 × 4,974.98
  4. Step 4: Simplify right side
    7,804.25x = 53,587,570.09
  5. Step 5: Solve for x
    x = 53,587,570.09/7,804.25
  6. Step 6: Final answer
    x = 6,866.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.