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Finding the Fourth Proportional to 12,808.56, 17,675.18 and 7,143.92

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Solution

The fourth proportional to 12,808.56, 17,675.18 and 7,143.92 is: 9,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.56 : 17,675.18 = 7,143.92 : x
  2. Step 2: Convert to fraction form
    12,808.56/17,675.18 = 7,143.92/x
  3. Step 3: Cross multiply
    12,808.56x = 17,675.18 × 7,143.92
  4. Step 4: Simplify right side
    12,808.56x = 126,270,071.91
  5. Step 5: Solve for x
    x = 126,270,071.91/12,808.56
  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.