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Finding the Fourth Proportional to 8,094.62, 11,146.46 and 7,506.56

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Solution

The fourth proportional to 8,094.62, 11,146.46 and 7,506.56 is: 10,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.62 : 11,146.46 = 7,506.56 : x
  2. Step 2: Convert to fraction form
    8,094.62/11,146.46 = 7,506.56/x
  3. Step 3: Cross multiply
    8,094.62x = 11,146.46 × 7,506.56
  4. Step 4: Simplify right side
    8,094.62x = 83,671,570.78
  5. Step 5: Solve for x
    x = 83,671,570.78/8,094.62
  6. Step 6: Final answer
    x = 10,336.69

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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.