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Finding the Fourth Proportional to 10,135.97, 13,994.04 and 6,954.59

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Solution

The fourth proportional to 10,135.97, 13,994.04 and 6,954.59 is: 9,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.97 : 13,994.04 = 6,954.59 : x
  2. Step 2: Convert to fraction form
    10,135.97/13,994.04 = 6,954.59/x
  3. Step 3: Cross multiply
    10,135.97x = 13,994.04 × 6,954.59
  4. Step 4: Simplify right side
    10,135.97x = 97,322,810.64
  5. Step 5: Solve for x
    x = 97,322,810.64/10,135.97
  6. Step 6: Final answer
    x = 9,601.73

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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.