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Finding the Fourth Proportional to 12,074.96, 16,664.64 and 6,770.68

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Solution

The fourth proportional to 12,074.96, 16,664.64 and 6,770.68 is: 9,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.96 : 16,664.64 = 6,770.68 : x
  2. Step 2: Convert to fraction form
    12,074.96/16,664.64 = 6,770.68/x
  3. Step 3: Cross multiply
    12,074.96x = 16,664.64 × 6,770.68
  4. Step 4: Simplify right side
    12,074.96x = 112,830,944.76
  5. Step 5: Solve for x
    x = 112,830,944.76/12,074.96
  6. Step 6: Final answer
    x = 9,344.21

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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.