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Finding the Fourth Proportional to 8,123.99, 12,187.81 and 2,577.67

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Solution

The fourth proportional to 8,123.99, 12,187.81 and 2,577.67 is: 3,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.99 : 12,187.81 = 2,577.67 : x
  2. Step 2: Convert to fraction form
    8,123.99/12,187.81 = 2,577.67/x
  3. Step 3: Cross multiply
    8,123.99x = 12,187.81 × 2,577.67
  4. Step 4: Simplify right side
    8,123.99x = 31,416,091.26
  5. Step 5: Solve for x
    x = 31,416,091.26/8,123.99
  6. Step 6: Final answer
    x = 3,867.08

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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.