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Finding the Fourth Proportional to 9,614.67, 14,420.23 and 7,751.45

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Solution

The fourth proportional to 9,614.67, 14,420.23 and 7,751.45 is: 11,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.67 : 14,420.23 = 7,751.45 : x
  2. Step 2: Convert to fraction form
    9,614.67/14,420.23 = 7,751.45/x
  3. Step 3: Cross multiply
    9,614.67x = 14,420.23 × 7,751.45
  4. Step 4: Simplify right side
    9,614.67x = 111,777,627.39
  5. Step 5: Solve for x
    x = 111,777,627.39/9,614.67
  6. Step 6: Final answer
    x = 11,625.73

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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.