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Finding the Fourth Proportional to 12,217, 16,852.74 and 8,685.48

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Solution

The fourth proportional to 12,217, 16,852.74 and 8,685.48 is: 11,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217 : 16,852.74 = 8,685.48 : x
  2. Step 2: Convert to fraction form
    12,217/16,852.74 = 8,685.48/x
  3. Step 3: Cross multiply
    12,217x = 16,852.74 × 8,685.48
  4. Step 4: Simplify right side
    12,217x = 146,374,136.22
  5. Step 5: Solve for x
    x = 146,374,136.22/12,217
  6. Step 6: Final answer
    x = 11,981.18

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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.