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Finding the Fourth Proportional to 7,096.68, 10,646.91 and 2,714.49

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Solution

The fourth proportional to 7,096.68, 10,646.91 and 2,714.49 is: 4,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.68 : 10,646.91 = 2,714.49 : x
  2. Step 2: Convert to fraction form
    7,096.68/10,646.91 = 2,714.49/x
  3. Step 3: Cross multiply
    7,096.68x = 10,646.91 × 2,714.49
  4. Step 4: Simplify right side
    7,096.68x = 28,900,930.73
  5. Step 5: Solve for x
    x = 28,900,930.73/7,096.68
  6. Step 6: Final answer
    x = 4,072.46

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1.5x scale

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.