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Finding the Fourth Proportional to 6,877.96, 10,330.74 and 6,684.17

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Solution

The fourth proportional to 6,877.96, 10,330.74 and 6,684.17 is: 10,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.96 : 10,330.74 = 6,684.17 : x
  2. Step 2: Convert to fraction form
    6,877.96/10,330.74 = 6,684.17/x
  3. Step 3: Cross multiply
    6,877.96x = 10,330.74 × 6,684.17
  4. Step 4: Simplify right side
    6,877.96x = 69,052,370.73
  5. Step 5: Solve for x
    x = 69,052,370.73/6,877.96
  6. Step 6: Final answer
    x = 10,039.66

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1.5x scale

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.