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Finding the Fourth Proportional to 6,450.68, 9,677.10 and 5,797.64

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Solution

The fourth proportional to 6,450.68, 9,677.10 and 5,797.64 is: 8,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.68 : 9,677.10 = 5,797.64 : x
  2. Step 2: Convert to fraction form
    6,450.68/9,677.10 = 5,797.64/x
  3. Step 3: Cross multiply
    6,450.68x = 9,677.10 × 5,797.64
  4. Step 4: Simplify right side
    6,450.68x = 56,104,342.04
  5. Step 5: Solve for x
    x = 56,104,342.04/6,450.68
  6. Step 6: Final answer
    x = 8,697.43

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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.