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Finding the Fourth Proportional to 6,071.98, 8,378.64 and 3,419.32

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Solution

The fourth proportional to 6,071.98, 8,378.64 and 3,419.32 is: 4,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.98 : 8,378.64 = 3,419.32 : x
  2. Step 2: Convert to fraction form
    6,071.98/8,378.64 = 3,419.32/x
  3. Step 3: Cross multiply
    6,071.98x = 8,378.64 × 3,419.32
  4. Step 4: Simplify right side
    6,071.98x = 28,649,251.32
  5. Step 5: Solve for x
    x = 28,649,251.32/6,071.98
  6. Step 6: Final answer
    x = 4,718.27

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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.