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Finding the Fourth Proportional to 9,145.62, 13,691.69 and 8,270.13

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Solution

The fourth proportional to 9,145.62, 13,691.69 and 8,270.13 is: 12,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.62 : 13,691.69 = 8,270.13 : x
  2. Step 2: Convert to fraction form
    9,145.62/13,691.69 = 8,270.13/x
  3. Step 3: Cross multiply
    9,145.62x = 13,691.69 × 8,270.13
  4. Step 4: Simplify right side
    9,145.62x = 113,232,056.22
  5. Step 5: Solve for x
    x = 113,232,056.22/9,145.62
  6. Step 6: Final answer
    x = 12,381.01

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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.