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Finding the Fourth Proportional to 15,229.15, 22,840.93 and 6,907.16

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Solution

The fourth proportional to 15,229.15, 22,840.93 and 6,907.16 is: 10,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.15 : 22,840.93 = 6,907.16 : x
  2. Step 2: Convert to fraction form
    15,229.15/22,840.93 = 6,907.16/x
  3. Step 3: Cross multiply
    15,229.15x = 22,840.93 × 6,907.16
  4. Step 4: Simplify right side
    15,229.15x = 157,765,958.06
  5. Step 5: Solve for x
    x = 157,765,958.06/15,229.15
  6. Step 6: Final answer
    x = 10,359.47

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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.