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Finding the Fourth Proportional to 14,686.69, 20,267.64 and 7,972.31

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Solution

The fourth proportional to 14,686.69, 20,267.64 and 7,972.31 is: 11,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.69 : 20,267.64 = 7,972.31 : x
  2. Step 2: Convert to fraction form
    14,686.69/20,267.64 = 7,972.31/x
  3. Step 3: Cross multiply
    14,686.69x = 20,267.64 × 7,972.31
  4. Step 4: Simplify right side
    14,686.69x = 161,579,909.05
  5. Step 5: Solve for x
    x = 161,579,909.05/14,686.69
  6. Step 6: Final answer
    x = 11,001.79

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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.