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Finding the Fourth Proportional to 9,241.60, 13,843.84 and 4,304.64

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Solution

The fourth proportional to 9,241.60, 13,843.84 and 4,304.64 is: 6,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.60 : 13,843.84 = 4,304.64 : x
  2. Step 2: Convert to fraction form
    9,241.60/13,843.84 = 4,304.64/x
  3. Step 3: Cross multiply
    9,241.60x = 13,843.84 × 4,304.64
  4. Step 4: Simplify right side
    9,241.60x = 59,592,747.42
  5. Step 5: Solve for x
    x = 59,592,747.42/9,241.60
  6. Step 6: Final answer
    x = 6,448.31

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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.