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Finding the Fourth Proportional to 13,009.80, 17,953.14 and 7,344.75

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Solution

The fourth proportional to 13,009.80, 17,953.14 and 7,344.75 is: 10,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.80 : 17,953.14 = 7,344.75 : x
  2. Step 2: Convert to fraction form
    13,009.80/17,953.14 = 7,344.75/x
  3. Step 3: Cross multiply
    13,009.80x = 17,953.14 × 7,344.75
  4. Step 4: Simplify right side
    13,009.80x = 131,861,325.02
  5. Step 5: Solve for x
    x = 131,861,325.02/13,009.80
  6. Step 6: Final answer
    x = 10,135.54

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Half scale
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Double scale
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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.