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Finding the Fourth Proportional to 6,701, 10,051.50 and 2,317.28

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Solution

The fourth proportional to 6,701, 10,051.50 and 2,317.28 is: 3,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701 : 10,051.50 = 2,317.28 : x
  2. Step 2: Convert to fraction form
    6,701/10,051.50 = 2,317.28/x
  3. Step 3: Cross multiply
    6,701x = 10,051.50 × 2,317.28
  4. Step 4: Simplify right side
    6,701x = 23,292,139.92
  5. Step 5: Solve for x
    x = 23,292,139.92/6,701
  6. Step 6: Final answer
    x = 3,475.92

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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.