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Finding the Fourth Proportional to 6,993.68, 9,651.12 and 3,849.80

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Solution

The fourth proportional to 6,993.68, 9,651.12 and 3,849.80 is: 5,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.68 : 9,651.12 = 3,849.80 : x
  2. Step 2: Convert to fraction form
    6,993.68/9,651.12 = 3,849.80/x
  3. Step 3: Cross multiply
    6,993.68x = 9,651.12 × 3,849.80
  4. Step 4: Simplify right side
    6,993.68x = 37,154,881.78
  5. Step 5: Solve for x
    x = 37,154,881.78/6,993.68
  6. Step 6: Final answer
    x = 5,312.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.