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Finding the Fourth Proportional to 6,851.54, 9,455.13 and 3,707.73

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Solution

The fourth proportional to 6,851.54, 9,455.13 and 3,707.73 is: 5,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.54 : 9,455.13 = 3,707.73 : x
  2. Step 2: Convert to fraction form
    6,851.54/9,455.13 = 3,707.73/x
  3. Step 3: Cross multiply
    6,851.54x = 9,455.13 × 3,707.73
  4. Step 4: Simplify right side
    6,851.54x = 35,057,069.15
  5. Step 5: Solve for x
    x = 35,057,069.15/6,851.54
  6. Step 6: Final answer
    x = 5,116.67

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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.