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Finding the Fourth Proportional to 6,870.07, 10,305.11 and 2,486.50

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Solution

The fourth proportional to 6,870.07, 10,305.11 and 2,486.50 is: 3,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.07 : 10,305.11 = 2,486.50 : x
  2. Step 2: Convert to fraction form
    6,870.07/10,305.11 = 2,486.50/x
  3. Step 3: Cross multiply
    6,870.07x = 10,305.11 × 2,486.50
  4. Step 4: Simplify right side
    6,870.07x = 25,623,656.02
  5. Step 5: Solve for x
    x = 25,623,656.02/6,870.07
  6. Step 6: Final answer
    x = 3,729.75

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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.