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Finding the Fourth Proportional to 6,851.50, 9,455.07 and 3,707.71

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Solution

The fourth proportional to 6,851.50, 9,455.07 and 3,707.71 is: 5,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.50 : 9,455.07 = 3,707.71 : x
  2. Step 2: Convert to fraction form
    6,851.50/9,455.07 = 3,707.71/x
  3. Step 3: Cross multiply
    6,851.50x = 9,455.07 × 3,707.71
  4. Step 4: Simplify right side
    6,851.50x = 35,056,657.59
  5. Step 5: Solve for x
    x = 35,056,657.59/6,851.50
  6. Step 6: Final answer
    x = 5,116.64

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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.