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Finding the Fourth Proportional to 14,706.80, 20,294.79 and 7,992.27

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Solution

The fourth proportional to 14,706.80, 20,294.79 and 7,992.27 is: 11,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.80 : 20,294.79 = 7,992.27 : x
  2. Step 2: Convert to fraction form
    14,706.80/20,294.79 = 7,992.27/x
  3. Step 3: Cross multiply
    14,706.80x = 20,294.79 × 7,992.27
  4. Step 4: Simplify right side
    14,706.80x = 162,201,411.30
  5. Step 5: Solve for x
    x = 162,201,411.30/14,706.80
  6. Step 6: Final answer
    x = 11,029.01

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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.