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Finding the Fourth Proportional to 11,689.74, 17,534.58 and 9,629.46

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Solution

The fourth proportional to 11,689.74, 17,534.58 and 9,629.46 is: 14,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.74 : 17,534.58 = 9,629.46 : x
  2. Step 2: Convert to fraction form
    11,689.74/17,534.58 = 9,629.46/x
  3. Step 3: Cross multiply
    11,689.74x = 17,534.58 × 9,629.46
  4. Step 4: Simplify right side
    11,689.74x = 168,848,536.73
  5. Step 5: Solve for x
    x = 168,848,536.73/11,689.74
  6. Step 6: Final answer
    x = 14,444.17

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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.