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Finding the Fourth Proportional to 6,594.40, 9,891.60 and 1,664.42

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Solution

The fourth proportional to 6,594.40, 9,891.60 and 1,664.42 is: 2,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.40 : 9,891.60 = 1,664.42 : x
  2. Step 2: Convert to fraction form
    6,594.40/9,891.60 = 1,664.42/x
  3. Step 3: Cross multiply
    6,594.40x = 9,891.60 × 1,664.42
  4. Step 4: Simplify right side
    6,594.40x = 16,463,776.87
  5. Step 5: Solve for x
    x = 16,463,776.87/6,594.40
  6. Step 6: Final answer
    x = 2,496.63

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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.