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Finding the Fourth Proportional to 6,146.64, 8,482.37 and 3,493.98

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Solution

The fourth proportional to 6,146.64, 8,482.37 and 3,493.98 is: 4,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.64 : 8,482.37 = 3,493.98 : x
  2. Step 2: Convert to fraction form
    6,146.64/8,482.37 = 3,493.98/x
  3. Step 3: Cross multiply
    6,146.64x = 8,482.37 × 3,493.98
  4. Step 4: Simplify right side
    6,146.64x = 29,637,213.66
  5. Step 5: Solve for x
    x = 29,637,213.66/6,146.64
  6. Step 6: Final answer
    x = 4,821.69

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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.