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Finding the Fourth Proportional to 6,143.94, 8,463.87 and 5,077.26

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Solution

The fourth proportional to 6,143.94, 8,463.87 and 5,077.26 is: 6,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.94 : 8,463.87 = 5,077.26 : x
  2. Step 2: Convert to fraction form
    6,143.94/8,463.87 = 5,077.26/x
  3. Step 3: Cross multiply
    6,143.94x = 8,463.87 × 5,077.26
  4. Step 4: Simplify right side
    6,143.94x = 42,973,268.60
  5. Step 5: Solve for x
    x = 42,973,268.60/6,143.94
  6. Step 6: Final answer
    x = 6,994.42

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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.