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Finding the Fourth Proportional to 27,888.64, 41,817.84 and 9,164.32

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Solution

The fourth proportional to 27,888.64, 41,817.84 and 9,164.32 is: 13,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888.64 : 41,817.84 = 9,164.32 : x
  2. Step 2: Convert to fraction form
    27,888.64/41,817.84 = 9,164.32/x
  3. Step 3: Cross multiply
    27,888.64x = 41,817.84 × 9,164.32
  4. Step 4: Simplify right side
    27,888.64x = 383,232,067.47
  5. Step 5: Solve for x
    x = 383,232,067.47/27,888.64
  6. Step 6: Final answer
    x = 13,741.51

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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.