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Finding the Fourth Proportional to 6,405.40, 9,608.40 and 2,023.18

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Solution

The fourth proportional to 6,405.40, 9,608.40 and 2,023.18 is: 3,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.40 : 9,608.40 = 2,023.18 : x
  2. Step 2: Convert to fraction form
    6,405.40/9,608.40 = 2,023.18/x
  3. Step 3: Cross multiply
    6,405.40x = 9,608.40 × 2,023.18
  4. Step 4: Simplify right side
    6,405.40x = 19,439,522.71
  5. Step 5: Solve for x
    x = 19,439,522.71/6,405.40
  6. Step 6: Final answer
    x = 3,034.86

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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.