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Finding the Fourth Proportional to 16,506, 22,768.20 and 10,841.40

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Solution

The fourth proportional to 16,506, 22,768.20 and 10,841.40 is: 14,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506 : 22,768.20 = 10,841.40 : x
  2. Step 2: Convert to fraction form
    16,506/22,768.20 = 10,841.40/x
  3. Step 3: Cross multiply
    16,506x = 22,768.20 × 10,841.40
  4. Step 4: Simplify right side
    16,506x = 246,839,163.48
  5. Step 5: Solve for x
    x = 246,839,163.48/16,506
  6. Step 6: Final answer
    x = 14,954.51

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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.