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Finding the Fourth Proportional to 8,461.02, 11,756.73 and 8,369.76

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Solution

The fourth proportional to 8,461.02, 11,756.73 and 8,369.76 is: 11,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.02 : 11,756.73 = 8,369.76 : x
  2. Step 2: Convert to fraction form
    8,461.02/11,756.73 = 8,369.76/x
  3. Step 3: Cross multiply
    8,461.02x = 11,756.73 × 8,369.76
  4. Step 4: Simplify right side
    8,461.02x = 98,401,008.48
  5. Step 5: Solve for x
    x = 98,401,008.48/8,461.02
  6. Step 6: Final answer
    x = 11,629.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.