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Finding the Fourth Proportional to 6,714.19, 10,069.76 and 2,552.72

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Solution

The fourth proportional to 6,714.19, 10,069.76 and 2,552.72 is: 3,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.19 : 10,069.76 = 2,552.72 : x
  2. Step 2: Convert to fraction form
    6,714.19/10,069.76 = 2,552.72/x
  3. Step 3: Cross multiply
    6,714.19x = 10,069.76 × 2,552.72
  4. Step 4: Simplify right side
    6,714.19x = 25,705,258.95
  5. Step 5: Solve for x
    x = 25,705,258.95/6,714.19
  6. Step 6: Final answer
    x = 3,828.50

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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.