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Finding the Fourth Proportional to 15,582.54, 23,373.81 and 5,194.29

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Solution

The fourth proportional to 15,582.54, 23,373.81 and 5,194.29 is: 7,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.54 : 23,373.81 = 5,194.29 : x
  2. Step 2: Convert to fraction form
    15,582.54/23,373.81 = 5,194.29/x
  3. Step 3: Cross multiply
    15,582.54x = 23,373.81 × 5,194.29
  4. Step 4: Simplify right side
    15,582.54x = 121,410,347.54
  5. Step 5: Solve for x
    x = 121,410,347.54/15,582.54
  6. Step 6: Final answer
    x = 7,791.44

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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.