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Finding the Fourth Proportional to 13,006.57, 17,947.04 and 7,628.57

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Solution

The fourth proportional to 13,006.57, 17,947.04 and 7,628.57 is: 10,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.57 : 17,947.04 = 7,628.57 : x
  2. Step 2: Convert to fraction form
    13,006.57/17,947.04 = 7,628.57/x
  3. Step 3: Cross multiply
    13,006.57x = 17,947.04 × 7,628.57
  4. Step 4: Simplify right side
    13,006.57x = 136,910,314.87
  5. Step 5: Solve for x
    x = 136,910,314.87/13,006.57
  6. Step 6: Final answer
    x = 10,526.24

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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.