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Finding the Fourth Proportional to 5,965.12, 8,238.86 and 4,774.24

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Solution

The fourth proportional to 5,965.12, 8,238.86 and 4,774.24 is: 6,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.12 : 8,238.86 = 4,774.24 : x
  2. Step 2: Convert to fraction form
    5,965.12/8,238.86 = 4,774.24/x
  3. Step 3: Cross multiply
    5,965.12x = 8,238.86 × 4,774.24
  4. Step 4: Simplify right side
    5,965.12x = 39,334,294.97
  5. Step 5: Solve for x
    x = 39,334,294.97/5,965.12
  6. Step 6: Final answer
    x = 6,594.05

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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.