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Finding the Fourth Proportional to 15,162.84, 20,922.36 and 9,494.88

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Solution

The fourth proportional to 15,162.84, 20,922.36 and 9,494.88 is: 13,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162.84 : 20,922.36 = 9,494.88 : x
  2. Step 2: Convert to fraction form
    15,162.84/20,922.36 = 9,494.88/x
  3. Step 3: Cross multiply
    15,162.84x = 20,922.36 × 9,494.88
  4. Step 4: Simplify right side
    15,162.84x = 198,655,297.52
  5. Step 5: Solve for x
    x = 198,655,297.52/15,162.84
  6. Step 6: Final answer
    x = 13,101.46

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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.