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Finding the Fourth Proportional to 9,574.72, 13,198.08 and 8,771.20

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Solution

The fourth proportional to 9,574.72, 13,198.08 and 8,771.20 is: 12,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.72 : 13,198.08 = 8,771.20 : x
  2. Step 2: Convert to fraction form
    9,574.72/13,198.08 = 8,771.20/x
  3. Step 3: Cross multiply
    9,574.72x = 13,198.08 × 8,771.20
  4. Step 4: Simplify right side
    9,574.72x = 115,762,999.30
  5. Step 5: Solve for x
    x = 115,762,999.30/9,574.72
  6. Step 6: Final answer
    x = 12,090.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.