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Finding the Fourth Proportional to 4,676.72, 6,984.75 and 4,237.09

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Solution

The fourth proportional to 4,676.72, 6,984.75 and 4,237.09 is: 6,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.72 : 6,984.75 = 4,237.09 : x
  2. Step 2: Convert to fraction form
    4,676.72/6,984.75 = 4,237.09/x
  3. Step 3: Cross multiply
    4,676.72x = 6,984.75 × 4,237.09
  4. Step 4: Simplify right side
    4,676.72x = 29,595,014.38
  5. Step 5: Solve for x
    x = 29,595,014.38/4,676.72
  6. Step 6: Final answer
    x = 6,328.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.