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Finding the Fourth Proportional to 7,034.56, 9,714.72 and 4,552

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Solution

The fourth proportional to 7,034.56, 9,714.72 and 4,552 is: 6,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.56 : 9,714.72 = 4,552 : x
  2. Step 2: Convert to fraction form
    7,034.56/9,714.72 = 4,552/x
  3. Step 3: Cross multiply
    7,034.56x = 9,714.72 × 4,552
  4. Step 4: Simplify right side
    7,034.56x = 44,221,405.44
  5. Step 5: Solve for x
    x = 44,221,405.44/7,034.56
  6. Step 6: Final answer
    x = 6,286.31

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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.