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Finding the Fourth Proportional to 9,767.96, 14,659.64 and 5,023.94

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Solution

The fourth proportional to 9,767.96, 14,659.64 and 5,023.94 is: 7,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.96 : 14,659.64 = 5,023.94 : x
  2. Step 2: Convert to fraction form
    9,767.96/14,659.64 = 5,023.94/x
  3. Step 3: Cross multiply
    9,767.96x = 14,659.64 × 5,023.94
  4. Step 4: Simplify right side
    9,767.96x = 73,649,151.78
  5. Step 5: Solve for x
    x = 73,649,151.78/9,767.96
  6. Step 6: Final answer
    x = 7,539.87

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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.