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Finding the Fourth Proportional to 9,232.92, 13,855.86 and 7,157.70

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Solution

The fourth proportional to 9,232.92, 13,855.86 and 7,157.70 is: 10,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.92 : 13,855.86 = 7,157.70 : x
  2. Step 2: Convert to fraction form
    9,232.92/13,855.86 = 7,157.70/x
  3. Step 3: Cross multiply
    9,232.92x = 13,855.86 × 7,157.70
  4. Step 4: Simplify right side
    9,232.92x = 99,176,089.12
  5. Step 5: Solve for x
    x = 99,176,089.12/9,232.92
  6. Step 6: Final answer
    x = 10,741.57

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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.