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Finding the Fourth Proportional to 6,855.69, 9,460.74 and 3,711.84

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Solution

The fourth proportional to 6,855.69, 9,460.74 and 3,711.84 is: 5,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.69 : 9,460.74 = 3,711.84 : x
  2. Step 2: Convert to fraction form
    6,855.69/9,460.74 = 3,711.84/x
  3. Step 3: Cross multiply
    6,855.69x = 9,460.74 × 3,711.84
  4. Step 4: Simplify right side
    6,855.69x = 35,116,753.16
  5. Step 5: Solve for x
    x = 35,116,753.16/6,855.69
  6. Step 6: Final answer
    x = 5,122.28

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Half scale
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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.