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Finding the Fourth Proportional to 8,662.32, 11,941.56 and 6,174

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Solution

The fourth proportional to 8,662.32, 11,941.56 and 6,174 is: 8,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.32 : 11,941.56 = 6,174 : x
  2. Step 2: Convert to fraction form
    8,662.32/11,941.56 = 6,174/x
  3. Step 3: Cross multiply
    8,662.32x = 11,941.56 × 6,174
  4. Step 4: Simplify right side
    8,662.32x = 73,727,191.44
  5. Step 5: Solve for x
    x = 73,727,191.44/8,662.32
  6. Step 6: Final answer
    x = 8,511.25

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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.