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Finding the Fourth Proportional to 6,870.56, 10,306.64 and 2,188.94

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Solution

The fourth proportional to 6,870.56, 10,306.64 and 2,188.94 is: 3,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.56 : 10,306.64 = 2,188.94 : x
  2. Step 2: Convert to fraction form
    6,870.56/10,306.64 = 2,188.94/x
  3. Step 3: Cross multiply
    6,870.56x = 10,306.64 × 2,188.94
  4. Step 4: Simplify right side
    6,870.56x = 22,560,570.50
  5. Step 5: Solve for x
    x = 22,560,570.50/6,870.56
  6. Step 6: Final answer
    x = 3,283.66

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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.