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Finding the Fourth Proportional to 9,201.64, 13,802.64 and 2,628.04

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Solution

The fourth proportional to 9,201.64, 13,802.64 and 2,628.04 is: 3,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.64 : 13,802.64 = 2,628.04 : x
  2. Step 2: Convert to fraction form
    9,201.64/13,802.64 = 2,628.04/x
  3. Step 3: Cross multiply
    9,201.64x = 13,802.64 × 2,628.04
  4. Step 4: Simplify right side
    9,201.64x = 36,273,890.03
  5. Step 5: Solve for x
    x = 36,273,890.03/9,201.64
  6. Step 6: Final answer
    x = 3,942.11

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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.