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Finding the Fourth Proportional to 12,950.88, 17,878 and 9,965.60

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Solution

The fourth proportional to 12,950.88, 17,878 and 9,965.60 is: 13,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.88 : 17,878 = 9,965.60 : x
  2. Step 2: Convert to fraction form
    12,950.88/17,878 = 9,965.60/x
  3. Step 3: Cross multiply
    12,950.88x = 17,878 × 9,965.60
  4. Step 4: Simplify right side
    12,950.88x = 178,164,996.80
  5. Step 5: Solve for x
    x = 178,164,996.80/12,950.88
  6. Step 6: Final answer
    x = 13,756.98

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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.