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Finding the Fourth Proportional to 12,593.28, 17,378.68 and 7,004.28

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Solution

The fourth proportional to 12,593.28, 17,378.68 and 7,004.28 is: 9,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.28 : 17,378.68 = 7,004.28 : x
  2. Step 2: Convert to fraction form
    12,593.28/17,378.68 = 7,004.28/x
  3. Step 3: Cross multiply
    12,593.28x = 17,378.68 × 7,004.28
  4. Step 4: Simplify right side
    12,593.28x = 121,725,140.75
  5. Step 5: Solve for x
    x = 121,725,140.75/12,593.28
  6. Step 6: Final answer
    x = 9,665.88

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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.