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Finding the Fourth Proportional to 13,001.49, 17,942.06 and 7,033.14

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Solution

The fourth proportional to 13,001.49, 17,942.06 and 7,033.14 is: 9,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.49 : 17,942.06 = 7,033.14 : x
  2. Step 2: Convert to fraction form
    13,001.49/17,942.06 = 7,033.14/x
  3. Step 3: Cross multiply
    13,001.49x = 17,942.06 × 7,033.14
  4. Step 4: Simplify right side
    13,001.49x = 126,189,037.45
  5. Step 5: Solve for x
    x = 126,189,037.45/13,001.49
  6. Step 6: Final answer
    x = 9,705.74

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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.