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Finding the Fourth Proportional to 15,409.76, 23,078.64 and 7,593.44

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Solution

The fourth proportional to 15,409.76, 23,078.64 and 7,593.44 is: 11,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.76 : 23,078.64 = 7,593.44 : x
  2. Step 2: Convert to fraction form
    15,409.76/23,078.64 = 7,593.44/x
  3. Step 3: Cross multiply
    15,409.76x = 23,078.64 × 7,593.44
  4. Step 4: Simplify right side
    15,409.76x = 175,246,268.12
  5. Step 5: Solve for x
    x = 175,246,268.12/15,409.76
  6. Step 6: Final answer
    x = 11,372.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.