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Finding the Fourth Proportional to 13,009.14, 17,944.74 and 8,296.16

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Solution

The fourth proportional to 13,009.14, 17,944.74 and 8,296.16 is: 11,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.14 : 17,944.74 = 8,296.16 : x
  2. Step 2: Convert to fraction form
    13,009.14/17,944.74 = 8,296.16/x
  3. Step 3: Cross multiply
    13,009.14x = 17,944.74 × 8,296.16
  4. Step 4: Simplify right side
    13,009.14x = 148,872,344.47
  5. Step 5: Solve for x
    x = 148,872,344.47/13,009.14
  6. Step 6: Final answer
    x = 11,443.67

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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.