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Finding the Fourth Proportional to 7,001.90, 10,499.70 and 2,069.84

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Solution

The fourth proportional to 7,001.90, 10,499.70 and 2,069.84 is: 3,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.90 : 10,499.70 = 2,069.84 : x
  2. Step 2: Convert to fraction form
    7,001.90/10,499.70 = 2,069.84/x
  3. Step 3: Cross multiply
    7,001.90x = 10,499.70 × 2,069.84
  4. Step 4: Simplify right side
    7,001.90x = 21,732,699.05
  5. Step 5: Solve for x
    x = 21,732,699.05/7,001.90
  6. Step 6: Final answer
    x = 3,103.83

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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.