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Finding the Fourth Proportional to 6,912.70, 10,369.05 and 6,502.30

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Solution

The fourth proportional to 6,912.70, 10,369.05 and 6,502.30 is: 9,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.70 : 10,369.05 = 6,502.30 : x
  2. Step 2: Convert to fraction form
    6,912.70/10,369.05 = 6,502.30/x
  3. Step 3: Cross multiply
    6,912.70x = 10,369.05 × 6,502.30
  4. Step 4: Simplify right side
    6,912.70x = 67,422,673.82
  5. Step 5: Solve for x
    x = 67,422,673.82/6,912.70
  6. Step 6: Final answer
    x = 9,753.45

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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.