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Finding the Fourth Proportional to 12,808.51, 17,675.85 and 7,143.63

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Solution

The fourth proportional to 12,808.51, 17,675.85 and 7,143.63 is: 9,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.51 : 17,675.85 = 7,143.63 : x
  2. Step 2: Convert to fraction form
    12,808.51/17,675.85 = 7,143.63/x
  3. Step 3: Cross multiply
    12,808.51x = 17,675.85 × 7,143.63
  4. Step 4: Simplify right side
    12,808.51x = 126,269,608.24
  5. Step 5: Solve for x
    x = 126,269,608.24/12,808.51
  6. Step 6: Final answer
    x = 9,858.26

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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.