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Finding the Fourth Proportional to 14,294.56, 19,726.02 and 8,006.92

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Solution

The fourth proportional to 14,294.56, 19,726.02 and 8,006.92 is: 11,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.56 : 19,726.02 = 8,006.92 : x
  2. Step 2: Convert to fraction form
    14,294.56/19,726.02 = 8,006.92/x
  3. Step 3: Cross multiply
    14,294.56x = 19,726.02 × 8,006.92
  4. Step 4: Simplify right side
    14,294.56x = 157,944,664.06
  5. Step 5: Solve for x
    x = 157,944,664.06/14,294.56
  6. Step 6: Final answer
    x = 11,049.28

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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.