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Finding the Fourth Proportional to 6,894.80, 10,342.25 and 1,964.43

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Solution

The fourth proportional to 6,894.80, 10,342.25 and 1,964.43 is: 2,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.80 : 10,342.25 = 1,964.43 : x
  2. Step 2: Convert to fraction form
    6,894.80/10,342.25 = 1,964.43/x
  3. Step 3: Cross multiply
    6,894.80x = 10,342.25 × 1,964.43
  4. Step 4: Simplify right side
    6,894.80x = 20,316,616.35
  5. Step 5: Solve for x
    x = 20,316,616.35/6,894.80
  6. Step 6: Final answer
    x = 2,946.66

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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.