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Finding the Fourth Proportional to 8,663.52, 11,942.88 and 6,137.82

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Solution

The fourth proportional to 8,663.52, 11,942.88 and 6,137.82 is: 8,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.52 : 11,942.88 = 6,137.82 : x
  2. Step 2: Convert to fraction form
    8,663.52/11,942.88 = 6,137.82/x
  3. Step 3: Cross multiply
    8,663.52x = 11,942.88 × 6,137.82
  4. Step 4: Simplify right side
    8,663.52x = 73,303,247.72
  5. Step 5: Solve for x
    x = 73,303,247.72/8,663.52
  6. Step 6: Final answer
    x = 8,461.14

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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.