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Finding the Fourth Proportional to 9,437.97, 14,157.08 and 4,099.92

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Solution

The fourth proportional to 9,437.97, 14,157.08 and 4,099.92 is: 6,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.97 : 14,157.08 = 4,099.92 : x
  2. Step 2: Convert to fraction form
    9,437.97/14,157.08 = 4,099.92/x
  3. Step 3: Cross multiply
    9,437.97x = 14,157.08 × 4,099.92
  4. Step 4: Simplify right side
    9,437.97x = 58,042,837.22
  5. Step 5: Solve for x
    x = 58,042,837.22/9,437.97
  6. Step 6: Final answer
    x = 6,149.93

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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.