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Finding the Fourth Proportional to 27,586, 38,075.16 and 16,414.48

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Solution

The fourth proportional to 27,586, 38,075.16 and 16,414.48 is: 22,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586 : 38,075.16 = 16,414.48 : x
  2. Step 2: Convert to fraction form
    27,586/38,075.16 = 16,414.48/x
  3. Step 3: Cross multiply
    27,586x = 38,075.16 × 16,414.48
  4. Step 4: Simplify right side
    27,586x = 624,983,952.32
  5. Step 5: Solve for x
    x = 624,983,952.32/27,586
  6. Step 6: Final answer
    x = 22,655.84

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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.