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Finding the Fourth Proportional to 12,878.92, 17,770.89 and 7,213.24

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Solution

The fourth proportional to 12,878.92, 17,770.89 and 7,213.24 is: 9,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.92 : 17,770.89 = 7,213.24 : x
  2. Step 2: Convert to fraction form
    12,878.92/17,770.89 = 7,213.24/x
  3. Step 3: Cross multiply
    12,878.92x = 17,770.89 × 7,213.24
  4. Step 4: Simplify right side
    12,878.92x = 128,185,694.58
  5. Step 5: Solve for x
    x = 128,185,694.58/12,878.92
  6. Step 6: Final answer
    x = 9,953.14

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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.