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Finding the Fourth Proportional to 6,405.40, 9,608.10 and 2,706.40

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Solution

The fourth proportional to 6,405.40, 9,608.10 and 2,706.40 is: 4,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.40 : 9,608.10 = 2,706.40 : x
  2. Step 2: Convert to fraction form
    6,405.40/9,608.10 = 2,706.40/x
  3. Step 3: Cross multiply
    6,405.40x = 9,608.10 × 2,706.40
  4. Step 4: Simplify right side
    6,405.40x = 26,003,361.84
  5. Step 5: Solve for x
    x = 26,003,361.84/6,405.40
  6. Step 6: Final answer
    x = 4,059.60

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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.