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Finding the Fourth Proportional to 11,753.56, 16,220.35 and 6,975.98

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Solution

The fourth proportional to 11,753.56, 16,220.35 and 6,975.98 is: 9,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.56 : 16,220.35 = 6,975.98 : x
  2. Step 2: Convert to fraction form
    11,753.56/16,220.35 = 6,975.98/x
  3. Step 3: Cross multiply
    11,753.56x = 16,220.35 × 6,975.98
  4. Step 4: Simplify right side
    11,753.56x = 113,152,837.19
  5. Step 5: Solve for x
    x = 113,152,837.19/11,753.56
  6. Step 6: Final answer
    x = 9,627.11

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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.