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Finding the Fourth Proportional to 13,007.07, 17,949.75 and 7,418.07

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Solution

The fourth proportional to 13,007.07, 17,949.75 and 7,418.07 is: 10,236.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.07 : 17,949.75 = 7,418.07 : x
  2. Step 2: Convert to fraction form
    13,007.07/17,949.75 = 7,418.07/x
  3. Step 3: Cross multiply
    13,007.07x = 17,949.75 × 7,418.07
  4. Step 4: Simplify right side
    13,007.07x = 133,152,501.98
  5. Step 5: Solve for x
    x = 133,152,501.98/13,007.07
  6. Step 6: Final answer
    x = 10,236.93

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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.