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Finding the Fourth Proportional to 11,392.16, 15,721.13 and 6,356.09

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Solution

The fourth proportional to 11,392.16, 15,721.13 and 6,356.09 is: 8,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.16 : 15,721.13 = 6,356.09 : x
  2. Step 2: Convert to fraction form
    11,392.16/15,721.13 = 6,356.09/x
  3. Step 3: Cross multiply
    11,392.16x = 15,721.13 × 6,356.09
  4. Step 4: Simplify right side
    11,392.16x = 99,924,972.37
  5. Step 5: Solve for x
    x = 99,924,972.37/11,392.16
  6. Step 6: Final answer
    x = 8,771.38

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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.