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Finding the Fourth Proportional to 6,870.71, 10,306.80 and 2,189.06

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Solution

The fourth proportional to 6,870.71, 10,306.80 and 2,189.06 is: 3,283.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.71 : 10,306.80 = 2,189.06 : x
  2. Step 2: Convert to fraction form
    6,870.71/10,306.80 = 2,189.06/x
  3. Step 3: Cross multiply
    6,870.71x = 10,306.80 × 2,189.06
  4. Step 4: Simplify right side
    6,870.71x = 22,562,152.07
  5. Step 5: Solve for x
    x = 22,562,152.07/6,870.71
  6. Step 6: Final answer
    x = 3,283.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.