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Finding the Fourth Proportional to 6,194.67, 8,547.84 and 3,676.38

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Solution

The fourth proportional to 6,194.67, 8,547.84 and 3,676.38 is: 5,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.67 : 8,547.84 = 3,676.38 : x
  2. Step 2: Convert to fraction form
    6,194.67/8,547.84 = 3,676.38/x
  3. Step 3: Cross multiply
    6,194.67x = 8,547.84 × 3,676.38
  4. Step 4: Simplify right side
    6,194.67x = 31,425,108.02
  5. Step 5: Solve for x
    x = 31,425,108.02/6,194.67
  6. Step 6: Final answer
    x = 5,072.93

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Half scale
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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.