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Finding the Fourth Proportional to 17,098.76, 23,594.64 and 9,544.48

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Solution

The fourth proportional to 17,098.76, 23,594.64 and 9,544.48 is: 13,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.76 : 23,594.64 = 9,544.48 : x
  2. Step 2: Convert to fraction form
    17,098.76/23,594.64 = 9,544.48/x
  3. Step 3: Cross multiply
    17,098.76x = 23,594.64 × 9,544.48
  4. Step 4: Simplify right side
    17,098.76x = 225,198,569.59
  5. Step 5: Solve for x
    x = 225,198,569.59/17,098.76
  6. Step 6: Final answer
    x = 13,170.46

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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.