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Finding the Fourth Proportional to 6,911.44, 10,368.93 and 1,981.42

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Solution

The fourth proportional to 6,911.44, 10,368.93 and 1,981.42 is: 2,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.44 : 10,368.93 = 1,981.42 : x
  2. Step 2: Convert to fraction form
    6,911.44/10,368.93 = 1,981.42/x
  3. Step 3: Cross multiply
    6,911.44x = 10,368.93 × 1,981.42
  4. Step 4: Simplify right side
    6,911.44x = 20,545,205.28
  5. Step 5: Solve for x
    x = 20,545,205.28/6,911.44
  6. Step 6: Final answer
    x = 2,972.64

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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.