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Finding the Fourth Proportional to 6,114, 8,433.48 and 4,874.96

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Solution

The fourth proportional to 6,114, 8,433.48 and 4,874.96 is: 6,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 8,433.48 = 4,874.96 : x
  2. Step 2: Convert to fraction form
    6,114/8,433.48 = 4,874.96/x
  3. Step 3: Cross multiply
    6,114x = 8,433.48 × 4,874.96
  4. Step 4: Simplify right side
    6,114x = 41,112,877.66
  5. Step 5: Solve for x
    x = 41,112,877.66/6,114
  6. Step 6: Final answer
    x = 6,724.38

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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.