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Finding the Fourth Proportional to 7,234.76, 10,843.19 and 4,270.19

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Solution

The fourth proportional to 7,234.76, 10,843.19 and 4,270.19 is: 6,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.76 : 10,843.19 = 4,270.19 : x
  2. Step 2: Convert to fraction form
    7,234.76/10,843.19 = 4,270.19/x
  3. Step 3: Cross multiply
    7,234.76x = 10,843.19 × 4,270.19
  4. Step 4: Simplify right side
    7,234.76x = 46,302,405.94
  5. Step 5: Solve for x
    x = 46,302,405.94/7,234.76
  6. Step 6: Final answer
    x = 6,400.00

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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.