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Finding the Fourth Proportional to 5,306.56, 7,266.44 and 5,097.42

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Solution

The fourth proportional to 5,306.56, 7,266.44 and 5,097.42 is: 6,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.56 : 7,266.44 = 5,097.42 : x
  2. Step 2: Convert to fraction form
    5,306.56/7,266.44 = 5,097.42/x
  3. Step 3: Cross multiply
    5,306.56x = 7,266.44 × 5,097.42
  4. Step 4: Simplify right side
    5,306.56x = 37,040,096.58
  5. Step 5: Solve for x
    x = 37,040,096.58/5,306.56
  6. Step 6: Final answer
    x = 6,980.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.