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Finding the Fourth Proportional to 6,449.88, 9,674.27 and 4,568.00

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Solution

The fourth proportional to 6,449.88, 9,674.27 and 4,568.00 is: 6,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.88 : 9,674.27 = 4,568.00 : x
  2. Step 2: Convert to fraction form
    6,449.88/9,674.27 = 4,568.00/x
  3. Step 3: Cross multiply
    6,449.88x = 9,674.27 × 4,568.00
  4. Step 4: Simplify right side
    6,449.88x = 44,191,994.15
  5. Step 5: Solve for x
    x = 44,191,994.15/6,449.88
  6. Step 6: Final answer
    x = 6,851.60

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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.