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Finding the Fourth Proportional to 9,804.39, 14,708.75 and 3,230.30

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Solution

The fourth proportional to 9,804.39, 14,708.75 and 3,230.30 is: 4,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.39 : 14,708.75 = 3,230.30 : x
  2. Step 2: Convert to fraction form
    9,804.39/14,708.75 = 3,230.30/x
  3. Step 3: Cross multiply
    9,804.39x = 14,708.75 × 3,230.30
  4. Step 4: Simplify right side
    9,804.39x = 47,513,585.43
  5. Step 5: Solve for x
    x = 47,513,585.43/9,804.39
  6. Step 6: Final answer
    x = 4,846.15

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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.