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Finding the Fourth Proportional to 10,726.80, 16,062.80 and 6,347.40

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Solution

The fourth proportional to 10,726.80, 16,062.80 and 6,347.40 is: 9,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.80 : 16,062.80 = 6,347.40 : x
  2. Step 2: Convert to fraction form
    10,726.80/16,062.80 = 6,347.40/x
  3. Step 3: Cross multiply
    10,726.80x = 16,062.80 × 6,347.40
  4. Step 4: Simplify right side
    10,726.80x = 101,957,016.72
  5. Step 5: Solve for x
    x = 101,957,016.72/10,726.80
  6. Step 6: Final answer
    x = 9,504.89

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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.