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Finding the Fourth Proportional to 12,593.04, 17,378.52 and 7,004.08

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Solution

The fourth proportional to 12,593.04, 17,378.52 and 7,004.08 is: 9,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.04 : 17,378.52 = 7,004.08 : x
  2. Step 2: Convert to fraction form
    12,593.04/17,378.52 = 7,004.08/x
  3. Step 3: Cross multiply
    12,593.04x = 17,378.52 × 7,004.08
  4. Step 4: Simplify right side
    12,593.04x = 121,720,544.36
  5. Step 5: Solve for x
    x = 121,720,544.36/12,593.04
  6. Step 6: Final answer
    x = 9,665.70

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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.