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Finding the Fourth Proportional to 6,405.64, 9,608.64 and 2,023

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Solution

The fourth proportional to 6,405.64, 9,608.64 and 2,023 is: 3,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.64 : 9,608.64 = 2,023 : x
  2. Step 2: Convert to fraction form
    6,405.64/9,608.64 = 2,023/x
  3. Step 3: Cross multiply
    6,405.64x = 9,608.64 × 2,023
  4. Step 4: Simplify right side
    6,405.64x = 19,438,278.72
  5. Step 5: Solve for x
    x = 19,438,278.72/6,405.64
  6. Step 6: Final answer
    x = 3,034.56

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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.