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Finding the Fourth Proportional to 11,578.97, 15,973.11 and 7,322.87

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Solution

The fourth proportional to 11,578.97, 15,973.11 and 7,322.87 is: 10,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.97 : 15,973.11 = 7,322.87 : x
  2. Step 2: Convert to fraction form
    11,578.97/15,973.11 = 7,322.87/x
  3. Step 3: Cross multiply
    11,578.97x = 15,973.11 × 7,322.87
  4. Step 4: Simplify right side
    11,578.97x = 116,968,928.16
  5. Step 5: Solve for x
    x = 116,968,928.16/11,578.97
  6. Step 6: Final answer
    x = 10,101.84

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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.