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Finding the Fourth Proportional to 9,314.63, 13,971.97 and 8,847.46

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Solution

The fourth proportional to 9,314.63, 13,971.97 and 8,847.46 is: 13,271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.63 : 13,971.97 = 8,847.46 : x
  2. Step 2: Convert to fraction form
    9,314.63/13,971.97 = 8,847.46/x
  3. Step 3: Cross multiply
    9,314.63x = 13,971.97 × 8,847.46
  4. Step 4: Simplify right side
    9,314.63x = 123,616,432.88
  5. Step 5: Solve for x
    x = 123,616,432.88/9,314.63
  6. Step 6: Final answer
    x = 13,271.22

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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.