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Finding the Fourth Proportional to 6,645.90, 9,970.20 and 2,263.53

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Solution

The fourth proportional to 6,645.90, 9,970.20 and 2,263.53 is: 3,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.90 : 9,970.20 = 2,263.53 : x
  2. Step 2: Convert to fraction form
    6,645.90/9,970.20 = 2,263.53/x
  3. Step 3: Cross multiply
    6,645.90x = 9,970.20 × 2,263.53
  4. Step 4: Simplify right side
    6,645.90x = 22,567,846.81
  5. Step 5: Solve for x
    x = 22,567,846.81/6,645.90
  6. Step 6: Final answer
    x = 3,395.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.