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Finding the Fourth Proportional to 6,894.93, 10,344.02 and 1,964.64

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Solution

The fourth proportional to 6,894.93, 10,344.02 and 1,964.64 is: 2,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.93 : 10,344.02 = 1,964.64 : x
  2. Step 2: Convert to fraction form
    6,894.93/10,344.02 = 1,964.64/x
  3. Step 3: Cross multiply
    6,894.93x = 10,344.02 × 1,964.64
  4. Step 4: Simplify right side
    6,894.93x = 20,322,275.45
  5. Step 5: Solve for x
    x = 20,322,275.45/6,894.93
  6. Step 6: Final answer
    x = 2,947.42

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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.