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Finding the Fourth Proportional to 30,647.75, 45,971.64 and 8,467.52

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Solution

The fourth proportional to 30,647.75, 45,971.64 and 8,467.52 is: 12,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.75 : 45,971.64 = 8,467.52 : x
  2. Step 2: Convert to fraction form
    30,647.75/45,971.64 = 8,467.52/x
  3. Step 3: Cross multiply
    30,647.75x = 45,971.64 × 8,467.52
  4. Step 4: Simplify right side
    30,647.75x = 389,265,551.27
  5. Step 5: Solve for x
    x = 389,265,551.27/30,647.75
  6. Step 6: Final answer
    x = 12,701.28

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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.