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Finding the Fourth Proportional to 7,801.64, 11,704.82 and 6,974.68

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Solution

The fourth proportional to 7,801.64, 11,704.82 and 6,974.68 is: 10,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.64 : 11,704.82 = 6,974.68 : x
  2. Step 2: Convert to fraction form
    7,801.64/11,704.82 = 6,974.68/x
  3. Step 3: Cross multiply
    7,801.64x = 11,704.82 × 6,974.68
  4. Step 4: Simplify right side
    7,801.64x = 81,637,373.96
  5. Step 5: Solve for x
    x = 81,637,373.96/7,801.64
  6. Step 6: Final answer
    x = 10,464.13

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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.