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Finding the Fourth Proportional to 6,895.70, 9,516.43 and 5,214.22

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Solution

The fourth proportional to 6,895.70, 9,516.43 and 5,214.22 is: 7,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.70 : 9,516.43 = 5,214.22 : x
  2. Step 2: Convert to fraction form
    6,895.70/9,516.43 = 5,214.22/x
  3. Step 3: Cross multiply
    6,895.70x = 9,516.43 × 5,214.22
  4. Step 4: Simplify right side
    6,895.70x = 49,620,759.63
  5. Step 5: Solve for x
    x = 49,620,759.63/6,895.70
  6. Step 6: Final answer
    x = 7,195.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.