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Finding the Fourth Proportional to 7,178.63, 10,767.94 and 1,984.50

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Solution

The fourth proportional to 7,178.63, 10,767.94 and 1,984.50 is: 2,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.63 : 10,767.94 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    7,178.63/10,767.94 = 1,984.50/x
  3. Step 3: Cross multiply
    7,178.63x = 10,767.94 × 1,984.50
  4. Step 4: Simplify right side
    7,178.63x = 21,368,971.97
  5. Step 5: Solve for x
    x = 21,368,971.97/7,178.63
  6. Step 6: Final answer
    x = 2,976.75

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Similar ratio
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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.