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Finding the Fourth Proportional to 6,205.78, 9,308.65 and 1,823.23

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Solution

The fourth proportional to 6,205.78, 9,308.65 and 1,823.23 is: 2,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.78 : 9,308.65 = 1,823.23 : x
  2. Step 2: Convert to fraction form
    6,205.78/9,308.65 = 1,823.23/x
  3. Step 3: Cross multiply
    6,205.78x = 9,308.65 × 1,823.23
  4. Step 4: Simplify right side
    6,205.78x = 16,971,809.94
  5. Step 5: Solve for x
    x = 16,971,809.94/6,205.78
  6. Step 6: Final answer
    x = 2,734.84

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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.