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Finding the Fourth Proportional to 6,077.58, 8,390.94 and 4,961.17

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Solution

The fourth proportional to 6,077.58, 8,390.94 and 4,961.17 is: 6,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.58 : 8,390.94 = 4,961.17 : x
  2. Step 2: Convert to fraction form
    6,077.58/8,390.94 = 4,961.17/x
  3. Step 3: Cross multiply
    6,077.58x = 8,390.94 × 4,961.17
  4. Step 4: Simplify right side
    6,077.58x = 41,628,871.68
  5. Step 5: Solve for x
    x = 41,628,871.68/6,077.58
  6. Step 6: Final answer
    x = 6,849.58

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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.