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Finding the Fourth Proportional to 7,469.61, 10,302.15 and 6,966.60

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Solution

The fourth proportional to 7,469.61, 10,302.15 and 6,966.60 is: 9,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.61 : 10,302.15 = 6,966.60 : x
  2. Step 2: Convert to fraction form
    7,469.61/10,302.15 = 6,966.60/x
  3. Step 3: Cross multiply
    7,469.61x = 10,302.15 × 6,966.60
  4. Step 4: Simplify right side
    7,469.61x = 71,770,958.19
  5. Step 5: Solve for x
    x = 71,770,958.19/7,469.61
  6. Step 6: Final answer
    x = 9,608.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.