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Finding the Fourth Proportional to 4,827.83, 7,233.24 and 4,228.16

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Solution

The fourth proportional to 4,827.83, 7,233.24 and 4,228.16 is: 6,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.83 : 7,233.24 = 4,228.16 : x
  2. Step 2: Convert to fraction form
    4,827.83/7,233.24 = 4,228.16/x
  3. Step 3: Cross multiply
    4,827.83x = 7,233.24 × 4,228.16
  4. Step 4: Simplify right side
    4,827.83x = 30,583,301.08
  5. Step 5: Solve for x
    x = 30,583,301.08/4,827.83
  6. Step 6: Final answer
    x = 6,334.79

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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.