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Finding the Fourth Proportional to 8,094.74, 11,172.72 and 5,737.64

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Solution

The fourth proportional to 8,094.74, 11,172.72 and 5,737.64 is: 7,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.74 : 11,172.72 = 5,737.64 : x
  2. Step 2: Convert to fraction form
    8,094.74/11,172.72 = 5,737.64/x
  3. Step 3: Cross multiply
    8,094.74x = 11,172.72 × 5,737.64
  4. Step 4: Simplify right side
    8,094.74x = 64,105,045.18
  5. Step 5: Solve for x
    x = 64,105,045.18/8,094.74
  6. Step 6: Final answer
    x = 7,919.35

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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.