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Finding the Fourth Proportional to 7,233.80, 10,866.90 and 6,938.60

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Solution

The fourth proportional to 7,233.80, 10,866.90 and 6,938.60 is: 10,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.80 : 10,866.90 = 6,938.60 : x
  2. Step 2: Convert to fraction form
    7,233.80/10,866.90 = 6,938.60/x
  3. Step 3: Cross multiply
    7,233.80x = 10,866.90 × 6,938.60
  4. Step 4: Simplify right side
    7,233.80x = 75,401,072.34
  5. Step 5: Solve for x
    x = 75,401,072.34/7,233.80
  6. Step 6: Final answer
    x = 10,423.44

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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.