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Finding the Fourth Proportional to 14,682.61, 20,262.06 and 7,968.23

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Solution

The fourth proportional to 14,682.61, 20,262.06 and 7,968.23 is: 10,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.61 : 20,262.06 = 7,968.23 : x
  2. Step 2: Convert to fraction form
    14,682.61/20,262.06 = 7,968.23/x
  3. Step 3: Cross multiply
    14,682.61x = 20,262.06 × 7,968.23
  4. Step 4: Simplify right side
    14,682.61x = 161,452,805.01
  5. Step 5: Solve for x
    x = 161,452,805.01/14,682.61
  6. Step 6: Final answer
    x = 10,996.19

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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.