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Finding the Fourth Proportional to 9,522.78, 13,141.44 and 5,331

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Solution

The fourth proportional to 9,522.78, 13,141.44 and 5,331 is: 7,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.78 : 13,141.44 = 5,331 : x
  2. Step 2: Convert to fraction form
    9,522.78/13,141.44 = 5,331/x
  3. Step 3: Cross multiply
    9,522.78x = 13,141.44 × 5,331
  4. Step 4: Simplify right side
    9,522.78x = 70,057,016.64
  5. Step 5: Solve for x
    x = 70,057,016.64/9,522.78
  6. Step 6: Final answer
    x = 7,356.78

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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.