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Finding the Fourth Proportional to 10,804.80, 16,207.20 and 4,228.80

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Solution

The fourth proportional to 10,804.80, 16,207.20 and 4,228.80 is: 6,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.80 : 16,207.20 = 4,228.80 : x
  2. Step 2: Convert to fraction form
    10,804.80/16,207.20 = 4,228.80/x
  3. Step 3: Cross multiply
    10,804.80x = 16,207.20 × 4,228.80
  4. Step 4: Simplify right side
    10,804.80x = 68,537,007.36
  5. Step 5: Solve for x
    x = 68,537,007.36/10,804.80
  6. Step 6: Final answer
    x = 6,343.20

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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.