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Finding the Fourth Proportional to 6,538.96, 9,812.58 and 5,923.90

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Solution

The fourth proportional to 6,538.96, 9,812.58 and 5,923.90 is: 8,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.96 : 9,812.58 = 5,923.90 : x
  2. Step 2: Convert to fraction form
    6,538.96/9,812.58 = 5,923.90/x
  3. Step 3: Cross multiply
    6,538.96x = 9,812.58 × 5,923.90
  4. Step 4: Simplify right side
    6,538.96x = 58,128,742.66
  5. Step 5: Solve for x
    x = 58,128,742.66/6,538.96
  6. Step 6: Final answer
    x = 8,889.60

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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.