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Finding the Fourth Proportional to 6,101.68, 8,419.95 and 3,412.68

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Solution

The fourth proportional to 6,101.68, 8,419.95 and 3,412.68 is: 4,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.68 : 8,419.95 = 3,412.68 : x
  2. Step 2: Convert to fraction form
    6,101.68/8,419.95 = 3,412.68/x
  3. Step 3: Cross multiply
    6,101.68x = 8,419.95 × 3,412.68
  4. Step 4: Simplify right side
    6,101.68x = 28,734,610.75
  5. Step 5: Solve for x
    x = 28,734,610.75/6,101.68
  6. Step 6: Final answer
    x = 4,709.30

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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.