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Finding the Fourth Proportional to 9,667.77, 14,482.14 and 8,103.36

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Solution

The fourth proportional to 9,667.77, 14,482.14 and 8,103.36 is: 12,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.77 : 14,482.14 = 8,103.36 : x
  2. Step 2: Convert to fraction form
    9,667.77/14,482.14 = 8,103.36/x
  3. Step 3: Cross multiply
    9,667.77x = 14,482.14 × 8,103.36
  4. Step 4: Simplify right side
    9,667.77x = 117,353,993.99
  5. Step 5: Solve for x
    x = 117,353,993.99/9,667.77
  6. Step 6: Final answer
    x = 12,138.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.