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Finding the Fourth Proportional to 15,229.16, 22,840.92 and 6,907.17

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Solution

The fourth proportional to 15,229.16, 22,840.92 and 6,907.17 is: 10,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.16 : 22,840.92 = 6,907.17 : x
  2. Step 2: Convert to fraction form
    15,229.16/22,840.92 = 6,907.17/x
  3. Step 3: Cross multiply
    15,229.16x = 22,840.92 × 6,907.17
  4. Step 4: Simplify right side
    15,229.16x = 157,766,117.40
  5. Step 5: Solve for x
    x = 157,766,117.40/15,229.16
  6. Step 6: Final answer
    x = 10,359.48

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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.