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Finding the Fourth Proportional to 6,146.61, 8,482.65 and 3,630.18

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Solution

The fourth proportional to 6,146.61, 8,482.65 and 3,630.18 is: 5,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.61 : 8,482.65 = 3,630.18 : x
  2. Step 2: Convert to fraction form
    6,146.61/8,482.65 = 3,630.18/x
  3. Step 3: Cross multiply
    6,146.61x = 8,482.65 × 3,630.18
  4. Step 4: Simplify right side
    6,146.61x = 30,793,546.38
  5. Step 5: Solve for x
    x = 30,793,546.38/6,146.61
  6. Step 6: Final answer
    x = 5,009.84

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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.