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Finding the Fourth Proportional to 7,239.42, 10,841.42 and 6,538.23

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Solution

The fourth proportional to 7,239.42, 10,841.42 and 6,538.23 is: 9,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.42 : 10,841.42 = 6,538.23 : x
  2. Step 2: Convert to fraction form
    7,239.42/10,841.42 = 6,538.23/x
  3. Step 3: Cross multiply
    7,239.42x = 10,841.42 × 6,538.23
  4. Step 4: Simplify right side
    7,239.42x = 70,883,664.80
  5. Step 5: Solve for x
    x = 70,883,664.80/7,239.42
  6. Step 6: Final answer
    x = 9,791.35

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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.