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Finding the Fourth Proportional to 4,830.48, 6,665.64 and 2,734.48

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Solution

The fourth proportional to 4,830.48, 6,665.64 and 2,734.48 is: 3,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.48 : 6,665.64 = 2,734.48 : x
  2. Step 2: Convert to fraction form
    4,830.48/6,665.64 = 2,734.48/x
  3. Step 3: Cross multiply
    4,830.48x = 6,665.64 × 2,734.48
  4. Step 4: Simplify right side
    4,830.48x = 18,227,059.27
  5. Step 5: Solve for x
    x = 18,227,059.27/4,830.48
  6. Step 6: Final answer
    x = 3,773.34

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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.