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Finding the Fourth Proportional to 9,293.04, 13,937.64 and 7,743.04

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Solution

The fourth proportional to 9,293.04, 13,937.64 and 7,743.04 is: 11,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.04 : 13,937.64 = 7,743.04 : x
  2. Step 2: Convert to fraction form
    9,293.04/13,937.64 = 7,743.04/x
  3. Step 3: Cross multiply
    9,293.04x = 13,937.64 × 7,743.04
  4. Step 4: Simplify right side
    9,293.04x = 107,919,704.03
  5. Step 5: Solve for x
    x = 107,919,704.03/9,293.04
  6. Step 6: Final answer
    x = 11,612.96

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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.