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Finding the Fourth Proportional to 12,867, 17,756.94 and 7,277.88

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Solution

The fourth proportional to 12,867, 17,756.94 and 7,277.88 is: 10,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867 : 17,756.94 = 7,277.88 : x
  2. Step 2: Convert to fraction form
    12,867/17,756.94 = 7,277.88/x
  3. Step 3: Cross multiply
    12,867x = 17,756.94 × 7,277.88
  4. Step 4: Simplify right side
    12,867x = 129,232,878.49
  5. Step 5: Solve for x
    x = 129,232,878.49/12,867
  6. Step 6: Final answer
    x = 10,043.75

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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.