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Finding the Fourth Proportional to 9,667.34, 13,346.75 and 6,647.34

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Solution

The fourth proportional to 9,667.34, 13,346.75 and 6,647.34 is: 9,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.34 : 13,346.75 = 6,647.34 : x
  2. Step 2: Convert to fraction form
    9,667.34/13,346.75 = 6,647.34/x
  3. Step 3: Cross multiply
    9,667.34x = 13,346.75 × 6,647.34
  4. Step 4: Simplify right side
    9,667.34x = 88,720,385.15
  5. Step 5: Solve for x
    x = 88,720,385.15/9,667.34
  6. Step 6: Final answer
    x = 9,177.33

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Half 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.