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Finding the Fourth Proportional to 6,855.88, 10,283.88 and 1,661.76

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Solution

The fourth proportional to 6,855.88, 10,283.88 and 1,661.76 is: 2,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.88 : 10,283.88 = 1,661.76 : x
  2. Step 2: Convert to fraction form
    6,855.88/10,283.88 = 1,661.76/x
  3. Step 3: Cross multiply
    6,855.88x = 10,283.88 × 1,661.76
  4. Step 4: Simplify right side
    6,855.88x = 17,089,340.43
  5. Step 5: Solve for x
    x = 17,089,340.43/6,855.88
  6. Step 6: Final answer
    x = 2,492.65

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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.