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Finding the Fourth Proportional to 7,813.42, 11,720.17 and 3,196.42

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Solution

The fourth proportional to 7,813.42, 11,720.17 and 3,196.42 is: 4,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.42 : 11,720.17 = 3,196.42 : x
  2. Step 2: Convert to fraction form
    7,813.42/11,720.17 = 3,196.42/x
  3. Step 3: Cross multiply
    7,813.42x = 11,720.17 × 3,196.42
  4. Step 4: Simplify right side
    7,813.42x = 37,462,527.19
  5. Step 5: Solve for x
    x = 37,462,527.19/7,813.42
  6. Step 6: Final answer
    x = 4,794.64

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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.