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Finding the Fourth Proportional to 4,829.80, 7,230.12 and 4,367.80

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Solution

The fourth proportional to 4,829.80, 7,230.12 and 4,367.80 is: 6,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.80 : 7,230.12 = 4,367.80 : x
  2. Step 2: Convert to fraction form
    4,829.80/7,230.12 = 4,367.80/x
  3. Step 3: Cross multiply
    4,829.80x = 7,230.12 × 4,367.80
  4. Step 4: Simplify right side
    4,829.80x = 31,579,718.14
  5. Step 5: Solve for x
    x = 31,579,718.14/4,829.80
  6. Step 6: Final answer
    x = 6,538.51

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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.