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Finding the Fourth Proportional to 6,405.68, 9,608.70 and 2,023.40

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Solution

The fourth proportional to 6,405.68, 9,608.70 and 2,023.40 is: 3,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.68 : 9,608.70 = 2,023.40 : x
  2. Step 2: Convert to fraction form
    6,405.68/9,608.70 = 2,023.40/x
  3. Step 3: Cross multiply
    6,405.68x = 9,608.70 × 2,023.40
  4. Step 4: Simplify right side
    6,405.68x = 19,442,243.58
  5. Step 5: Solve for x
    x = 19,442,243.58/6,405.68
  6. Step 6: Final answer
    x = 3,035.16

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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.