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Finding the Fourth Proportional to 6,586.65, 9,876.74 and 2,426.49

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Solution

The fourth proportional to 6,586.65, 9,876.74 and 2,426.49 is: 3,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.65 : 9,876.74 = 2,426.49 : x
  2. Step 2: Convert to fraction form
    6,586.65/9,876.74 = 2,426.49/x
  3. Step 3: Cross multiply
    6,586.65x = 9,876.74 × 2,426.49
  4. Step 4: Simplify right side
    6,586.65x = 23,965,798.71
  5. Step 5: Solve for x
    x = 23,965,798.71/6,586.65
  6. Step 6: Final answer
    x = 3,638.54

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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.