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Finding the Fourth Proportional to 25,784.69, 38,683.10 and 8,014.44

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Solution

The fourth proportional to 25,784.69, 38,683.10 and 8,014.44 is: 12,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.69 : 38,683.10 = 8,014.44 : x
  2. Step 2: Convert to fraction form
    25,784.69/38,683.10 = 8,014.44/x
  3. Step 3: Cross multiply
    25,784.69x = 38,683.10 × 8,014.44
  4. Step 4: Simplify right side
    25,784.69x = 310,023,343.89
  5. Step 5: Solve for x
    x = 310,023,343.89/25,784.69
  6. Step 6: Final answer
    x = 12,023.54

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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.