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Finding the Fourth Proportional to 13,009.36, 17,952.92 and 7,041.08

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Solution

The fourth proportional to 13,009.36, 17,952.92 and 7,041.08 is: 9,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.36 : 17,952.92 = 7,041.08 : x
  2. Step 2: Convert to fraction form
    13,009.36/17,952.92 = 7,041.08/x
  3. Step 3: Cross multiply
    13,009.36x = 17,952.92 × 7,041.08
  4. Step 4: Simplify right side
    13,009.36x = 126,407,861.25
  5. Step 5: Solve for x
    x = 126,407,861.25/13,009.36
  6. Step 6: Final answer
    x = 9,716.69

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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.