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Finding the Fourth Proportional to 7,665.34, 11,506.05 and 6,793.42

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Solution

The fourth proportional to 7,665.34, 11,506.05 and 6,793.42 is: 10,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.34 : 11,506.05 = 6,793.42 : x
  2. Step 2: Convert to fraction form
    7,665.34/11,506.05 = 6,793.42/x
  3. Step 3: Cross multiply
    7,665.34x = 11,506.05 × 6,793.42
  4. Step 4: Simplify right side
    7,665.34x = 78,165,384.44
  5. Step 5: Solve for x
    x = 78,165,384.44/7,665.34
  6. Step 6: Final answer
    x = 10,197.25

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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.