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Finding the Fourth Proportional to 6,286, 9,465.64 and 4,654.12

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Solution

The fourth proportional to 6,286, 9,465.64 and 4,654.12 is: 7,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286 : 9,465.64 = 4,654.12 : x
  2. Step 2: Convert to fraction form
    6,286/9,465.64 = 4,654.12/x
  3. Step 3: Cross multiply
    6,286x = 9,465.64 × 4,654.12
  4. Step 4: Simplify right side
    6,286x = 44,054,224.44
  5. Step 5: Solve for x
    x = 44,054,224.44/6,286
  6. Step 6: Final answer
    x = 7,008.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.