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Finding the Fourth Proportional to 12,804.48, 17,673.12 and 10,704.96

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Solution

The fourth proportional to 12,804.48, 17,673.12 and 10,704.96 is: 14,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.48 : 17,673.12 = 10,704.96 : x
  2. Step 2: Convert to fraction form
    12,804.48/17,673.12 = 10,704.96/x
  3. Step 3: Cross multiply
    12,804.48x = 17,673.12 × 10,704.96
  4. Step 4: Simplify right side
    12,804.48x = 189,190,042.68
  5. Step 5: Solve for x
    x = 189,190,042.68/12,804.48
  6. Step 6: Final answer
    x = 14,775.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.