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Finding the Fourth Proportional to 13,006.33, 17,948.73 and 7,037.99

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Solution

The fourth proportional to 13,006.33, 17,948.73 and 7,037.99 is: 9,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.33 : 17,948.73 = 7,037.99 : x
  2. Step 2: Convert to fraction form
    13,006.33/17,948.73 = 7,037.99/x
  3. Step 3: Cross multiply
    13,006.33x = 17,948.73 × 7,037.99
  4. Step 4: Simplify right side
    13,006.33x = 126,322,982.25
  5. Step 5: Solve for x
    x = 126,322,982.25/13,006.33
  6. Step 6: Final answer
    x = 9,712.42

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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.