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Finding the Fourth Proportional to 11,517.50, 15,894.24 and 6,549.50

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Solution

The fourth proportional to 11,517.50, 15,894.24 and 6,549.50 is: 9,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.50 : 15,894.24 = 6,549.50 : x
  2. Step 2: Convert to fraction form
    11,517.50/15,894.24 = 6,549.50/x
  3. Step 3: Cross multiply
    11,517.50x = 15,894.24 × 6,549.50
  4. Step 4: Simplify right side
    11,517.50x = 104,099,324.88
  5. Step 5: Solve for x
    x = 104,099,324.88/11,517.50
  6. Step 6: Final answer
    x = 9,038.36

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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.