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Finding the Fourth Proportional to 4,902.24, 6,765.16 and 2,664.16

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Solution

The fourth proportional to 4,902.24, 6,765.16 and 2,664.16 is: 3,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.24 : 6,765.16 = 2,664.16 : x
  2. Step 2: Convert to fraction form
    4,902.24/6,765.16 = 2,664.16/x
  3. Step 3: Cross multiply
    4,902.24x = 6,765.16 × 2,664.16
  4. Step 4: Simplify right side
    4,902.24x = 18,023,445.09
  5. Step 5: Solve for x
    x = 18,023,445.09/4,902.24
  6. Step 6: Final answer
    x = 3,676.57

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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.