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Finding the Fourth Proportional to 6,688.67, 10,027.84 and 2,685.65

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Solution

The fourth proportional to 6,688.67, 10,027.84 and 2,685.65 is: 4,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.67 : 10,027.84 = 2,685.65 : x
  2. Step 2: Convert to fraction form
    6,688.67/10,027.84 = 2,685.65/x
  3. Step 3: Cross multiply
    6,688.67x = 10,027.84 × 2,685.65
  4. Step 4: Simplify right side
    6,688.67x = 26,931,268.50
  5. Step 5: Solve for x
    x = 26,931,268.50/6,688.67
  6. Step 6: Final answer
    x = 4,026.40

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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.