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Finding the Fourth Proportional to 25,954.64, 38,914.20 and 9,314.30

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Solution

The fourth proportional to 25,954.64, 38,914.20 and 9,314.30 is: 13,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,954.64 : 38,914.20 = 9,314.30 : x
  2. Step 2: Convert to fraction form
    25,954.64/38,914.20 = 9,314.30/x
  3. Step 3: Cross multiply
    25,954.64x = 38,914.20 × 9,314.30
  4. Step 4: Simplify right side
    25,954.64x = 362,458,533.06
  5. Step 5: Solve for x
    x = 362,458,533.06/25,954.64
  6. Step 6: Final answer
    x = 13,965.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.