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Finding the Fourth Proportional to 9,699.44, 14,543.09 and 4,149.73

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Solution

The fourth proportional to 9,699.44, 14,543.09 and 4,149.73 is: 6,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.44 : 14,543.09 = 4,149.73 : x
  2. Step 2: Convert to fraction form
    9,699.44/14,543.09 = 4,149.73/x
  3. Step 3: Cross multiply
    9,699.44x = 14,543.09 × 4,149.73
  4. Step 4: Simplify right side
    9,699.44x = 60,349,803.40
  5. Step 5: Solve for x
    x = 60,349,803.40/9,699.44
  6. Step 6: Final answer
    x = 6,221.99

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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.