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Finding the Fourth Proportional to 8,309.88, 11,461.50 and 6,192.54

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Solution

The fourth proportional to 8,309.88, 11,461.50 and 6,192.54 is: 8,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.88 : 11,461.50 = 6,192.54 : x
  2. Step 2: Convert to fraction form
    8,309.88/11,461.50 = 6,192.54/x
  3. Step 3: Cross multiply
    8,309.88x = 11,461.50 × 6,192.54
  4. Step 4: Simplify right side
    8,309.88x = 70,975,797.21
  5. Step 5: Solve for x
    x = 70,975,797.21/8,309.88
  6. Step 6: Final answer
    x = 8,541.13

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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.