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Finding the Fourth Proportional to 9,804.40, 14,706.36 and 3,227.92

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Solution

The fourth proportional to 9,804.40, 14,706.36 and 3,227.92 is: 4,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.40 : 14,706.36 = 3,227.92 : x
  2. Step 2: Convert to fraction form
    9,804.40/14,706.36 = 3,227.92/x
  3. Step 3: Cross multiply
    9,804.40x = 14,706.36 × 3,227.92
  4. Step 4: Simplify right side
    9,804.40x = 47,470,953.57
  5. Step 5: Solve for x
    x = 47,470,953.57/9,804.40
  6. Step 6: Final answer
    x = 4,841.80

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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.