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Finding the Fourth Proportional to 6,352.94, 9,530.42 and 1,969.49

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Solution

The fourth proportional to 6,352.94, 9,530.42 and 1,969.49 is: 2,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.94 : 9,530.42 = 1,969.49 : x
  2. Step 2: Convert to fraction form
    6,352.94/9,530.42 = 1,969.49/x
  3. Step 3: Cross multiply
    6,352.94x = 9,530.42 × 1,969.49
  4. Step 4: Simplify right side
    6,352.94x = 18,770,066.89
  5. Step 5: Solve for x
    x = 18,770,066.89/6,352.94
  6. Step 6: Final answer
    x = 2,954.55

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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.