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Finding the Fourth Proportional to 9,773.88, 14,660.82 and 3,929.12

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Solution

The fourth proportional to 9,773.88, 14,660.82 and 3,929.12 is: 5,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.88 : 14,660.82 = 3,929.12 : x
  2. Step 2: Convert to fraction form
    9,773.88/14,660.82 = 3,929.12/x
  3. Step 3: Cross multiply
    9,773.88x = 14,660.82 × 3,929.12
  4. Step 4: Simplify right side
    9,773.88x = 57,604,028.13
  5. Step 5: Solve for x
    x = 57,604,028.13/9,773.88
  6. Step 6: Final answer
    x = 5,893.67

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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.