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Finding the Fourth Proportional to 6,714.54, 10,078.70 and 4,486.64

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Solution

The fourth proportional to 6,714.54, 10,078.70 and 4,486.64 is: 6,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.54 : 10,078.70 = 4,486.64 : x
  2. Step 2: Convert to fraction form
    6,714.54/10,078.70 = 4,486.64/x
  3. Step 3: Cross multiply
    6,714.54x = 10,078.70 × 4,486.64
  4. Step 4: Simplify right side
    6,714.54x = 45,219,425.74
  5. Step 5: Solve for x
    x = 45,219,425.74/6,714.54
  6. Step 6: Final answer
    x = 6,734.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.