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Finding the Fourth Proportional to 6,646.87, 9,964.95 and 3,685.24

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Solution

The fourth proportional to 6,646.87, 9,964.95 and 3,685.24 is: 5,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.87 : 9,964.95 = 3,685.24 : x
  2. Step 2: Convert to fraction form
    6,646.87/9,964.95 = 3,685.24/x
  3. Step 3: Cross multiply
    6,646.87x = 9,964.95 × 3,685.24
  4. Step 4: Simplify right side
    6,646.87x = 36,723,232.34
  5. Step 5: Solve for x
    x = 36,723,232.34/6,646.87
  6. Step 6: Final answer
    x = 5,524.89

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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.