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Finding the Fourth Proportional to 13,019.15, 17,966.49 and 7,353.97

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Solution

The fourth proportional to 13,019.15, 17,966.49 and 7,353.97 is: 10,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.15 : 17,966.49 = 7,353.97 : x
  2. Step 2: Convert to fraction form
    13,019.15/17,966.49 = 7,353.97/x
  3. Step 3: Cross multiply
    13,019.15x = 17,966.49 × 7,353.97
  4. Step 4: Simplify right side
    13,019.15x = 132,124,955.97
  5. Step 5: Solve for x
    x = 132,124,955.97/13,019.15
  6. Step 6: Final answer
    x = 10,148.51

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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.