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Finding the Fourth Proportional to 7,743.80, 11,599.14 and 7,204.34

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Solution

The fourth proportional to 7,743.80, 11,599.14 and 7,204.34 is: 10,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.80 : 11,599.14 = 7,204.34 : x
  2. Step 2: Convert to fraction form
    7,743.80/11,599.14 = 7,204.34/x
  3. Step 3: Cross multiply
    7,743.80x = 11,599.14 × 7,204.34
  4. Step 4: Simplify right side
    7,743.80x = 83,564,148.27
  5. Step 5: Solve for x
    x = 83,564,148.27/7,743.80
  6. Step 6: Final answer
    x = 10,791.10

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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.