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Finding the Fourth Proportional to 9,965.88, 13,653.32 and 9,592.20

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Solution

The fourth proportional to 9,965.88, 13,653.32 and 9,592.20 is: 13,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.88 : 13,653.32 = 9,592.20 : x
  2. Step 2: Convert to fraction form
    9,965.88/13,653.32 = 9,592.20/x
  3. Step 3: Cross multiply
    9,965.88x = 13,653.32 × 9,592.20
  4. Step 4: Simplify right side
    9,965.88x = 130,965,400.08
  5. Step 5: Solve for x
    x = 130,965,400.08/9,965.88
  6. Step 6: Final answer
    x = 13,141.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.