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Finding the Fourth Proportional to 7,230.83, 10,838.84 and 4,104.23

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Solution

The fourth proportional to 7,230.83, 10,838.84 and 4,104.23 is: 6,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.83 : 10,838.84 = 4,104.23 : x
  2. Step 2: Convert to fraction form
    7,230.83/10,838.84 = 4,104.23/x
  3. Step 3: Cross multiply
    7,230.83x = 10,838.84 × 4,104.23
  4. Step 4: Simplify right side
    7,230.83x = 44,485,017.58
  5. Step 5: Solve for x
    x = 44,485,017.58/7,230.83
  6. Step 6: Final answer
    x = 6,152.14

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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.