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Finding the Fourth Proportional to 6,870.61, 10,310.46 and 2,710.09

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Solution

The fourth proportional to 6,870.61, 10,310.46 and 2,710.09 is: 4,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.61 : 10,310.46 = 2,710.09 : x
  2. Step 2: Convert to fraction form
    6,870.61/10,310.46 = 2,710.09/x
  3. Step 3: Cross multiply
    6,870.61x = 10,310.46 × 2,710.09
  4. Step 4: Simplify right side
    6,870.61x = 27,942,274.54
  5. Step 5: Solve for x
    x = 27,942,274.54/6,870.61
  6. Step 6: Final answer
    x = 4,066.93

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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.