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Finding the Fourth Proportional to 15,582.68, 23,374.14 and 5,194.42

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Solution

The fourth proportional to 15,582.68, 23,374.14 and 5,194.42 is: 7,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.68 : 23,374.14 = 5,194.42 : x
  2. Step 2: Convert to fraction form
    15,582.68/23,374.14 = 5,194.42/x
  3. Step 3: Cross multiply
    15,582.68x = 23,374.14 × 5,194.42
  4. Step 4: Simplify right side
    15,582.68x = 121,415,100.30
  5. Step 5: Solve for x
    x = 121,415,100.30/15,582.68
  6. Step 6: Final answer
    x = 7,791.67

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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.