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Finding the Fourth Proportional to 9,500.41, 14,235.90 and 7,157.89

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Solution

The fourth proportional to 9,500.41, 14,235.90 and 7,157.89 is: 10,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.41 : 14,235.90 = 7,157.89 : x
  2. Step 2: Convert to fraction form
    9,500.41/14,235.90 = 7,157.89/x
  3. Step 3: Cross multiply
    9,500.41x = 14,235.90 × 7,157.89
  4. Step 4: Simplify right side
    9,500.41x = 101,899,006.25
  5. Step 5: Solve for x
    x = 101,899,006.25/9,500.41
  6. Step 6: Final answer
    x = 10,725.75

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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.