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Finding the Fourth Proportional to 14,684.84, 22,016.86 and 7,184.04

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Solution

The fourth proportional to 14,684.84, 22,016.86 and 7,184.04 is: 10,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.84 : 22,016.86 = 7,184.04 : x
  2. Step 2: Convert to fraction form
    14,684.84/22,016.86 = 7,184.04/x
  3. Step 3: Cross multiply
    14,684.84x = 22,016.86 × 7,184.04
  4. Step 4: Simplify right side
    14,684.84x = 158,170,002.91
  5. Step 5: Solve for x
    x = 158,170,002.91/14,684.84
  6. Step 6: Final answer
    x = 10,770.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.