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Finding the Fourth Proportional to 6,851.34, 9,455.01 and 3,867.30

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Solution

The fourth proportional to 6,851.34, 9,455.01 and 3,867.30 is: 5,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.34 : 9,455.01 = 3,867.30 : x
  2. Step 2: Convert to fraction form
    6,851.34/9,455.01 = 3,867.30/x
  3. Step 3: Cross multiply
    6,851.34x = 9,455.01 × 3,867.30
  4. Step 4: Simplify right side
    6,851.34x = 36,565,360.17
  5. Step 5: Solve for x
    x = 36,565,360.17/6,851.34
  6. Step 6: Final answer
    x = 5,336.96

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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.