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Finding the Fourth Proportional to 6,373.96, 9,559.32 and 2,862

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Solution

The fourth proportional to 6,373.96, 9,559.32 and 2,862 is: 4,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.96 : 9,559.32 = 2,862 : x
  2. Step 2: Convert to fraction form
    6,373.96/9,559.32 = 2,862/x
  3. Step 3: Cross multiply
    6,373.96x = 9,559.32 × 2,862
  4. Step 4: Simplify right side
    6,373.96x = 27,358,773.84
  5. Step 5: Solve for x
    x = 27,358,773.84/6,373.96
  6. Step 6: Final answer
    x = 4,292.27

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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.