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Finding the Fourth Proportional to 7,586.69, 10,469.93 and 6,325.63

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Solution

The fourth proportional to 7,586.69, 10,469.93 and 6,325.63 is: 8,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.69 : 10,469.93 = 6,325.63 : x
  2. Step 2: Convert to fraction form
    7,586.69/10,469.93 = 6,325.63/x
  3. Step 3: Cross multiply
    7,586.69x = 10,469.93 × 6,325.63
  4. Step 4: Simplify right side
    7,586.69x = 66,228,845.50
  5. Step 5: Solve for x
    x = 66,228,845.50/7,586.69
  6. Step 6: Final answer
    x = 8,729.62

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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.