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Finding the Fourth Proportional to 7,019.56, 9,686.70 and 3,832.60

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Solution

The fourth proportional to 7,019.56, 9,686.70 and 3,832.60 is: 5,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.56 : 9,686.70 = 3,832.60 : x
  2. Step 2: Convert to fraction form
    7,019.56/9,686.70 = 3,832.60/x
  3. Step 3: Cross multiply
    7,019.56x = 9,686.70 × 3,832.60
  4. Step 4: Simplify right side
    7,019.56x = 37,125,246.42
  5. Step 5: Solve for x
    x = 37,125,246.42/7,019.56
  6. Step 6: Final answer
    x = 5,288.83

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1.5x scale

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.