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Finding the Fourth Proportional to 9,225.60, 13,835.84 and 2,650

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Solution

The fourth proportional to 9,225.60, 13,835.84 and 2,650 is: 3,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.60 : 13,835.84 = 2,650 : x
  2. Step 2: Convert to fraction form
    9,225.60/13,835.84 = 2,650/x
  3. Step 3: Cross multiply
    9,225.60x = 13,835.84 × 2,650
  4. Step 4: Simplify right side
    9,225.60x = 36,664,976
  5. Step 5: Solve for x
    x = 36,664,976/9,225.60
  6. Step 6: Final answer
    x = 3,974.26

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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.