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Finding the Fourth Proportional to 8,203.69, 11,321.13 and 4,667.14

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Solution

The fourth proportional to 8,203.69, 11,321.13 and 4,667.14 is: 6,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.69 : 11,321.13 = 4,667.14 : x
  2. Step 2: Convert to fraction form
    8,203.69/11,321.13 = 4,667.14/x
  3. Step 3: Cross multiply
    8,203.69x = 11,321.13 × 4,667.14
  4. Step 4: Simplify right side
    8,203.69x = 52,837,298.67
  5. Step 5: Solve for x
    x = 52,837,298.67/8,203.69
  6. Step 6: Final answer
    x = 6,440.67

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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.