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Finding the Fourth Proportional to 15,200.94, 22,795.61 and 7,301.26

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Solution

The fourth proportional to 15,200.94, 22,795.61 and 7,301.26 is: 10,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.94 : 22,795.61 = 7,301.26 : x
  2. Step 2: Convert to fraction form
    15,200.94/22,795.61 = 7,301.26/x
  3. Step 3: Cross multiply
    15,200.94x = 22,795.61 × 7,301.26
  4. Step 4: Simplify right side
    15,200.94x = 166,436,667.46
  5. Step 5: Solve for x
    x = 166,436,667.46/15,200.94
  6. Step 6: Final answer
    x = 10,949.10

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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.