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Finding the Fourth Proportional to 8,975.73, 13,494 and 7,232.97

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Solution

The fourth proportional to 8,975.73, 13,494 and 7,232.97 is: 10,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.73 : 13,494 = 7,232.97 : x
  2. Step 2: Convert to fraction form
    8,975.73/13,494 = 7,232.97/x
  3. Step 3: Cross multiply
    8,975.73x = 13,494 × 7,232.97
  4. Step 4: Simplify right side
    8,975.73x = 97,601,697.18
  5. Step 5: Solve for x
    x = 97,601,697.18/8,975.73
  6. Step 6: Final answer
    x = 10,873.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.