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Finding the Fourth Proportional to 14,967.97, 20,657.01 and 8,254.90

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Solution

The fourth proportional to 14,967.97, 20,657.01 and 8,254.90 is: 11,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.97 : 20,657.01 = 8,254.90 : x
  2. Step 2: Convert to fraction form
    14,967.97/20,657.01 = 8,254.90/x
  3. Step 3: Cross multiply
    14,967.97x = 20,657.01 × 8,254.90
  4. Step 4: Simplify right side
    14,967.97x = 170,521,551.85
  5. Step 5: Solve for x
    x = 170,521,551.85/14,967.97
  6. Step 6: Final answer
    x = 11,392.43

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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.