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Finding the Fourth Proportional to 7,019.01, 9,686.12 and 3,832.20

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Solution

The fourth proportional to 7,019.01, 9,686.12 and 3,832.20 is: 5,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.01 : 9,686.12 = 3,832.20 : x
  2. Step 2: Convert to fraction form
    7,019.01/9,686.12 = 3,832.20/x
  3. Step 3: Cross multiply
    7,019.01x = 9,686.12 × 3,832.20
  4. Step 4: Simplify right side
    7,019.01x = 37,119,129.90
  5. Step 5: Solve for x
    x = 37,119,129.90/7,019.01
  6. Step 6: Final answer
    x = 5,288.37

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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.