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Finding the Fourth Proportional to 23,241.72, 34,864.64 and 7,447.16

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Solution

The fourth proportional to 23,241.72, 34,864.64 and 7,447.16 is: 11,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.72 : 34,864.64 = 7,447.16 : x
  2. Step 2: Convert to fraction form
    23,241.72/34,864.64 = 7,447.16/x
  3. Step 3: Cross multiply
    23,241.72x = 34,864.64 × 7,447.16
  4. Step 4: Simplify right side
    23,241.72x = 259,642,552.42
  5. Step 5: Solve for x
    x = 259,642,552.42/23,241.72
  6. Step 6: Final answer
    x = 11,171.40

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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.