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Finding the Fourth Proportional to 14,697.29, 20,282.25 and 7,982.93

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Solution

The fourth proportional to 14,697.29, 20,282.25 and 7,982.93 is: 11,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.29 : 20,282.25 = 7,982.93 : x
  2. Step 2: Convert to fraction form
    14,697.29/20,282.25 = 7,982.93/x
  3. Step 3: Cross multiply
    14,697.29x = 20,282.25 × 7,982.93
  4. Step 4: Simplify right side
    14,697.29x = 161,911,680.58
  5. Step 5: Solve for x
    x = 161,911,680.58/14,697.29
  6. Step 6: Final answer
    x = 11,016.43

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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.