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Finding the Fourth Proportional to 6,361.16, 9,541.74 and 3,281

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Solution

The fourth proportional to 6,361.16, 9,541.74 and 3,281 is: 4,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.16 : 9,541.74 = 3,281 : x
  2. Step 2: Convert to fraction form
    6,361.16/9,541.74 = 3,281/x
  3. Step 3: Cross multiply
    6,361.16x = 9,541.74 × 3,281
  4. Step 4: Simplify right side
    6,361.16x = 31,306,448.94
  5. Step 5: Solve for x
    x = 31,306,448.94/6,361.16
  6. Step 6: Final answer
    x = 4,921.50

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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.