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Finding the Fourth Proportional to 6,894.86, 10,340.74 and 1,964.40

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Solution

The fourth proportional to 6,894.86, 10,340.74 and 1,964.40 is: 2,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.86 : 10,340.74 = 1,964.40 : x
  2. Step 2: Convert to fraction form
    6,894.86/10,340.74 = 1,964.40/x
  3. Step 3: Cross multiply
    6,894.86x = 10,340.74 × 1,964.40
  4. Step 4: Simplify right side
    6,894.86x = 20,313,349.66
  5. Step 5: Solve for x
    x = 20,313,349.66/6,894.86
  6. Step 6: Final answer
    x = 2,946.16

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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.