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Finding the Fourth Proportional to 6,019.20, 8,346.40 and 5,822.40

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Solution

The fourth proportional to 6,019.20, 8,346.40 and 5,822.40 is: 8,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.20 : 8,346.40 = 5,822.40 : x
  2. Step 2: Convert to fraction form
    6,019.20/8,346.40 = 5,822.40/x
  3. Step 3: Cross multiply
    6,019.20x = 8,346.40 × 5,822.40
  4. Step 4: Simplify right side
    6,019.20x = 48,596,079.36
  5. Step 5: Solve for x
    x = 48,596,079.36/6,019.20
  6. Step 6: Final answer
    x = 8,073.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.