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Finding the Fourth Proportional to 6,969.16, 9,616.74 and 3,984.94

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Solution

The fourth proportional to 6,969.16, 9,616.74 and 3,984.94 is: 5,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.16 : 9,616.74 = 3,984.94 : x
  2. Step 2: Convert to fraction form
    6,969.16/9,616.74 = 3,984.94/x
  3. Step 3: Cross multiply
    6,969.16x = 9,616.74 × 3,984.94
  4. Step 4: Simplify right side
    6,969.16x = 38,322,131.90
  5. Step 5: Solve for x
    x = 38,322,131.90/6,969.16
  6. Step 6: Final answer
    x = 5,498.82

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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.