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Finding the Fourth Proportional to 10,640.87, 14,677.75 and 7,651.97

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Solution

The fourth proportional to 10,640.87, 14,677.75 and 7,651.97 is: 10,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.87 : 14,677.75 = 7,651.97 : x
  2. Step 2: Convert to fraction form
    10,640.87/14,677.75 = 7,651.97/x
  3. Step 3: Cross multiply
    10,640.87x = 14,677.75 × 7,651.97
  4. Step 4: Simplify right side
    10,640.87x = 112,313,720.23
  5. Step 5: Solve for x
    x = 112,313,720.23/10,640.87
  6. Step 6: Final answer
    x = 10,554.94

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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.