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Finding the Fourth Proportional to 7,097.78, 10,644.66 and 2,714.90

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Solution

The fourth proportional to 7,097.78, 10,644.66 and 2,714.90 is: 4,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.78 : 10,644.66 = 2,714.90 : x
  2. Step 2: Convert to fraction form
    7,097.78/10,644.66 = 2,714.90/x
  3. Step 3: Cross multiply
    7,097.78x = 10,644.66 × 2,714.90
  4. Step 4: Simplify right side
    7,097.78x = 28,899,187.43
  5. Step 5: Solve for x
    x = 28,899,187.43/7,097.78
  6. Step 6: Final answer
    x = 4,071.58

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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.