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Finding the Fourth Proportional to 6,378.14, 8,797.82 and 4,254.32

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Solution

The fourth proportional to 6,378.14, 8,797.82 and 4,254.32 is: 5,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.14 : 8,797.82 = 4,254.32 : x
  2. Step 2: Convert to fraction form
    6,378.14/8,797.82 = 4,254.32/x
  3. Step 3: Cross multiply
    6,378.14x = 8,797.82 × 4,254.32
  4. Step 4: Simplify right side
    6,378.14x = 37,428,742.31
  5. Step 5: Solve for x
    x = 37,428,742.31/6,378.14
  6. Step 6: Final answer
    x = 5,868.28

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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.