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Finding the Fourth Proportional to 9,765.83, 14,649.43 and 3,922.44

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Solution

The fourth proportional to 9,765.83, 14,649.43 and 3,922.44 is: 5,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.83 : 14,649.43 = 3,922.44 : x
  2. Step 2: Convert to fraction form
    9,765.83/14,649.43 = 3,922.44/x
  3. Step 3: Cross multiply
    9,765.83x = 14,649.43 × 3,922.44
  4. Step 4: Simplify right side
    9,765.83x = 57,461,510.21
  5. Step 5: Solve for x
    x = 57,461,510.21/9,765.83
  6. Step 6: Final answer
    x = 5,883.94

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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.