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Finding the Fourth Proportional to 6,168.46, 9,257.54 and 2,275.60

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Solution

The fourth proportional to 6,168.46, 9,257.54 and 2,275.60 is: 3,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.46 : 9,257.54 = 2,275.60 : x
  2. Step 2: Convert to fraction form
    6,168.46/9,257.54 = 2,275.60/x
  3. Step 3: Cross multiply
    6,168.46x = 9,257.54 × 2,275.60
  4. Step 4: Simplify right side
    6,168.46x = 21,066,458.02
  5. Step 5: Solve for x
    x = 21,066,458.02/6,168.46
  6. Step 6: Final answer
    x = 3,415.19

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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.