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Finding the Fourth Proportional to 6,146.83, 8,482.65 and 3,494.79

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Solution

The fourth proportional to 6,146.83, 8,482.65 and 3,494.79 is: 4,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.83 : 8,482.65 = 3,494.79 : x
  2. Step 2: Convert to fraction form
    6,146.83/8,482.65 = 3,494.79/x
  3. Step 3: Cross multiply
    6,146.83x = 8,482.65 × 3,494.79
  4. Step 4: Simplify right side
    6,146.83x = 29,645,080.39
  5. Step 5: Solve for x
    x = 29,645,080.39/6,146.83
  6. Step 6: Final answer
    x = 4,822.83

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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.