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Finding the Fourth Proportional to 6,196.68, 9,295.08 and 1,814.22

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Solution

The fourth proportional to 6,196.68, 9,295.08 and 1,814.22 is: 2,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.68 : 9,295.08 = 1,814.22 : x
  2. Step 2: Convert to fraction form
    6,196.68/9,295.08 = 1,814.22/x
  3. Step 3: Cross multiply
    6,196.68x = 9,295.08 × 1,814.22
  4. Step 4: Simplify right side
    6,196.68x = 16,863,320.04
  5. Step 5: Solve for x
    x = 16,863,320.04/6,196.68
  6. Step 6: Final answer
    x = 2,721.35

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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.