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Finding the Fourth Proportional to 24,501.44, 36,734.02 and 7,851.84

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Solution

The fourth proportional to 24,501.44, 36,734.02 and 7,851.84 is: 11,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.44 : 36,734.02 = 7,851.84 : x
  2. Step 2: Convert to fraction form
    24,501.44/36,734.02 = 7,851.84/x
  3. Step 3: Cross multiply
    24,501.44x = 36,734.02 × 7,851.84
  4. Step 4: Simplify right side
    24,501.44x = 288,429,647.60
  5. Step 5: Solve for x
    x = 288,429,647.60/24,501.44
  6. Step 6: Final answer
    x = 11,771.95

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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.