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Finding the Fourth Proportional to 6,969.64, 9,618.15 and 3,782.94

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Solution

The fourth proportional to 6,969.64, 9,618.15 and 3,782.94 is: 5,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.64 : 9,618.15 = 3,782.94 : x
  2. Step 2: Convert to fraction form
    6,969.64/9,618.15 = 3,782.94/x
  3. Step 3: Cross multiply
    6,969.64x = 9,618.15 × 3,782.94
  4. Step 4: Simplify right side
    6,969.64x = 36,384,884.36
  5. Step 5: Solve for x
    x = 36,384,884.36/6,969.64
  6. Step 6: Final answer
    x = 5,220.48

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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.