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Finding the Fourth Proportional to 11,352.64, 15,653.72 and 7,994.38

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Solution

The fourth proportional to 11,352.64, 15,653.72 and 7,994.38 is: 11,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.64 : 15,653.72 = 7,994.38 : x
  2. Step 2: Convert to fraction form
    11,352.64/15,653.72 = 7,994.38/x
  3. Step 3: Cross multiply
    11,352.64x = 15,653.72 × 7,994.38
  4. Step 4: Simplify right side
    11,352.64x = 125,141,786.09
  5. Step 5: Solve for x
    x = 125,141,786.09/11,352.64
  6. Step 6: Final answer
    x = 11,023.14

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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.