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Finding the Fourth Proportional to 11,107.76, 15,325.74 and 6,629.48

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Solution

The fourth proportional to 11,107.76, 15,325.74 and 6,629.48 is: 9,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.76 : 15,325.74 = 6,629.48 : x
  2. Step 2: Convert to fraction form
    11,107.76/15,325.74 = 6,629.48/x
  3. Step 3: Cross multiply
    11,107.76x = 15,325.74 × 6,629.48
  4. Step 4: Simplify right side
    11,107.76x = 101,601,686.82
  5. Step 5: Solve for x
    x = 101,601,686.82/11,107.76
  6. Step 6: Final answer
    x = 9,146.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.