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Finding the Fourth Proportional to 27,692.16, 41,554.88 and 9,921.44

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Solution

The fourth proportional to 27,692.16, 41,554.88 and 9,921.44 is: 14,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.16 : 41,554.88 = 9,921.44 : x
  2. Step 2: Convert to fraction form
    27,692.16/41,554.88 = 9,921.44/x
  3. Step 3: Cross multiply
    27,692.16x = 41,554.88 × 9,921.44
  4. Step 4: Simplify right side
    27,692.16x = 412,284,248.63
  5. Step 5: Solve for x
    x = 412,284,248.63/27,692.16
  6. Step 6: Final answer
    x = 14,888.12

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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.