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Finding the Fourth Proportional to 7,772.64, 11,653.49 and 3,874.32

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Solution

The fourth proportional to 7,772.64, 11,653.49 and 3,874.32 is: 5,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.64 : 11,653.49 = 3,874.32 : x
  2. Step 2: Convert to fraction form
    7,772.64/11,653.49 = 3,874.32/x
  3. Step 3: Cross multiply
    7,772.64x = 11,653.49 × 3,874.32
  4. Step 4: Simplify right side
    7,772.64x = 45,149,330.01
  5. Step 5: Solve for x
    x = 45,149,330.01/7,772.64
  6. Step 6: Final answer
    x = 5,808.75

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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.