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Finding the Fourth Proportional to 9,803.94, 14,707.73 and 3,230.39

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Solution

The fourth proportional to 9,803.94, 14,707.73 and 3,230.39 is: 4,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.94 : 14,707.73 = 3,230.39 : x
  2. Step 2: Convert to fraction form
    9,803.94/14,707.73 = 3,230.39/x
  3. Step 3: Cross multiply
    9,803.94x = 14,707.73 × 3,230.39
  4. Step 4: Simplify right side
    9,803.94x = 47,511,638.45
  5. Step 5: Solve for x
    x = 47,511,638.45/9,803.94
  6. Step 6: Final answer
    x = 4,846.18

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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.