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Finding the Fourth Proportional to 4,830.25, 6,666.38 and 2,734.38

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Solution

The fourth proportional to 4,830.25, 6,666.38 and 2,734.38 is: 3,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.25 : 6,666.38 = 2,734.38 : x
  2. Step 2: Convert to fraction form
    4,830.25/6,666.38 = 2,734.38/x
  3. Step 3: Cross multiply
    4,830.25x = 6,666.38 × 2,734.38
  4. Step 4: Simplify right side
    4,830.25x = 18,228,416.14
  5. Step 5: Solve for x
    x = 18,228,416.14/4,830.25
  6. Step 6: Final answer
    x = 3,773.80

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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.