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Finding the Fourth Proportional to 8,064.77, 12,097.04 and 3,905.15

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Solution

The fourth proportional to 8,064.77, 12,097.04 and 3,905.15 is: 5,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.77 : 12,097.04 = 3,905.15 : x
  2. Step 2: Convert to fraction form
    8,064.77/12,097.04 = 3,905.15/x
  3. Step 3: Cross multiply
    8,064.77x = 12,097.04 × 3,905.15
  4. Step 4: Simplify right side
    8,064.77x = 47,240,755.76
  5. Step 5: Solve for x
    x = 47,240,755.76/8,064.77
  6. Step 6: Final answer
    x = 5,857.67

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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.