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Finding the Fourth Proportional to 5,165.63, 7,748.46 and 4,902.69

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Solution

The fourth proportional to 5,165.63, 7,748.46 and 4,902.69 is: 7,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.63 : 7,748.46 = 4,902.69 : x
  2. Step 2: Convert to fraction form
    5,165.63/7,748.46 = 4,902.69/x
  3. Step 3: Cross multiply
    5,165.63x = 7,748.46 × 4,902.69
  4. Step 4: Simplify right side
    5,165.63x = 37,988,297.36
  5. Step 5: Solve for x
    x = 37,988,297.36/5,165.63
  6. Step 6: Final answer
    x = 7,354.05

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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.