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Finding the Fourth Proportional to 6,101.34, 8,419.38 and 3,449

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Solution

The fourth proportional to 6,101.34, 8,419.38 and 3,449 is: 4,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.34 : 8,419.38 = 3,449 : x
  2. Step 2: Convert to fraction form
    6,101.34/8,419.38 = 3,449/x
  3. Step 3: Cross multiply
    6,101.34x = 8,419.38 × 3,449
  4. Step 4: Simplify right side
    6,101.34x = 29,038,441.62
  5. Step 5: Solve for x
    x = 29,038,441.62/6,101.34
  6. Step 6: Final answer
    x = 4,759.35

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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.