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Finding the Fourth Proportional to 15,223.91, 22,837.23 and 6,907.82

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Solution

The fourth proportional to 15,223.91, 22,837.23 and 6,907.82 is: 10,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.91 : 22,837.23 = 6,907.82 : x
  2. Step 2: Convert to fraction form
    15,223.91/22,837.23 = 6,907.82/x
  3. Step 3: Cross multiply
    15,223.91x = 22,837.23 × 6,907.82
  4. Step 4: Simplify right side
    15,223.91x = 157,755,359.95
  5. Step 5: Solve for x
    x = 157,755,359.95/15,223.91
  6. Step 6: Final answer
    x = 10,362.35

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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.