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Finding the Fourth Proportional to 12,482.70, 17,212.14 and 8,506.14

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Solution

The fourth proportional to 12,482.70, 17,212.14 and 8,506.14 is: 11,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482.70 : 17,212.14 = 8,506.14 : x
  2. Step 2: Convert to fraction form
    12,482.70/17,212.14 = 8,506.14/x
  3. Step 3: Cross multiply
    12,482.70x = 17,212.14 × 8,506.14
  4. Step 4: Simplify right side
    12,482.70x = 146,408,872.54
  5. Step 5: Solve for x
    x = 146,408,872.54/12,482.70
  6. Step 6: Final answer
    x = 11,728.94

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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.