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Finding the Fourth Proportional to 6,855.63, 9,460.80 and 3,711.84

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Solution

The fourth proportional to 6,855.63, 9,460.80 and 3,711.84 is: 5,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.63 : 9,460.80 = 3,711.84 : x
  2. Step 2: Convert to fraction form
    6,855.63/9,460.80 = 3,711.84/x
  3. Step 3: Cross multiply
    6,855.63x = 9,460.80 × 3,711.84
  4. Step 4: Simplify right side
    6,855.63x = 35,116,975.87
  5. Step 5: Solve for x
    x = 35,116,975.87/6,855.63
  6. Step 6: Final answer
    x = 5,122.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.