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Finding the Fourth Proportional to 15,380, 21,224.40 and 8,757.28

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Solution

The fourth proportional to 15,380, 21,224.40 and 8,757.28 is: 12,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380 : 21,224.40 = 8,757.28 : x
  2. Step 2: Convert to fraction form
    15,380/21,224.40 = 8,757.28/x
  3. Step 3: Cross multiply
    15,380x = 21,224.40 × 8,757.28
  4. Step 4: Simplify right side
    15,380x = 185,868,013.63
  5. Step 5: Solve for x
    x = 185,868,013.63/15,380
  6. Step 6: Final answer
    x = 12,085.05

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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.