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Finding the Fourth Proportional to 6,213.54, 9,308.53 and 2,884.51

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Solution

The fourth proportional to 6,213.54, 9,308.53 and 2,884.51 is: 4,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.54 : 9,308.53 = 2,884.51 : x
  2. Step 2: Convert to fraction form
    6,213.54/9,308.53 = 2,884.51/x
  3. Step 3: Cross multiply
    6,213.54x = 9,308.53 × 2,884.51
  4. Step 4: Simplify right side
    6,213.54x = 26,850,547.87
  5. Step 5: Solve for x
    x = 26,850,547.87/6,213.54
  6. Step 6: Final answer
    x = 4,321.30

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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.