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Finding the Fourth Proportional to 9,920.76, 14,892.07 and 5,765.46

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Solution

The fourth proportional to 9,920.76, 14,892.07 and 5,765.46 is: 8,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.76 : 14,892.07 = 5,765.46 : x
  2. Step 2: Convert to fraction form
    9,920.76/14,892.07 = 5,765.46/x
  3. Step 3: Cross multiply
    9,920.76x = 14,892.07 × 5,765.46
  4. Step 4: Simplify right side
    9,920.76x = 85,859,633.90
  5. Step 5: Solve for x
    x = 85,859,633.90/9,920.76
  6. Step 6: Final answer
    x = 8,654.54

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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.