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Finding the Fourth Proportional to 6,851.71, 10,277.57 and 2,234.71

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Solution

The fourth proportional to 6,851.71, 10,277.57 and 2,234.71 is: 3,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.71 : 10,277.57 = 2,234.71 : x
  2. Step 2: Convert to fraction form
    6,851.71/10,277.57 = 2,234.71/x
  3. Step 3: Cross multiply
    6,851.71x = 10,277.57 × 2,234.71
  4. Step 4: Simplify right side
    6,851.71x = 22,967,388.45
  5. Step 5: Solve for x
    x = 22,967,388.45/6,851.71
  6. Step 6: Final answer
    x = 3,352.07

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Half scale
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Double scale
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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.