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Finding the Fourth Proportional to 6,610.40, 9,899.40 and 4,407.20

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Solution

The fourth proportional to 6,610.40, 9,899.40 and 4,407.20 is: 6,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.40 : 9,899.40 = 4,407.20 : x
  2. Step 2: Convert to fraction form
    6,610.40/9,899.40 = 4,407.20/x
  3. Step 3: Cross multiply
    6,610.40x = 9,899.40 × 4,407.20
  4. Step 4: Simplify right side
    6,610.40x = 43,628,635.68
  5. Step 5: Solve for x
    x = 43,628,635.68/6,610.40
  6. Step 6: Final answer
    x = 6,600.00

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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.