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Finding the Fourth Proportional to 9,663.77, 14,499.11 and 5,961.69

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Solution

The fourth proportional to 9,663.77, 14,499.11 and 5,961.69 is: 8,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.77 : 14,499.11 = 5,961.69 : x
  2. Step 2: Convert to fraction form
    9,663.77/14,499.11 = 5,961.69/x
  3. Step 3: Cross multiply
    9,663.77x = 14,499.11 × 5,961.69
  4. Step 4: Simplify right side
    9,663.77x = 86,439,199.10
  5. Step 5: Solve for x
    x = 86,439,199.10/9,663.77
  6. Step 6: Final answer
    x = 8,944.67

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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.