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Finding the Fourth Proportional to 11,746.89, 17,608.05 and 7,304.58

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Solution

The fourth proportional to 11,746.89, 17,608.05 and 7,304.58 is: 10,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.89 : 17,608.05 = 7,304.58 : x
  2. Step 2: Convert to fraction form
    11,746.89/17,608.05 = 7,304.58/x
  3. Step 3: Cross multiply
    11,746.89x = 17,608.05 × 7,304.58
  4. Step 4: Simplify right side
    11,746.89x = 128,619,409.87
  5. Step 5: Solve for x
    x = 128,619,409.87/11,746.89
  6. Step 6: Final answer
    x = 10,949.23

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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.