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Finding the Fourth Proportional to 7,773.84, 11,678.04 and 6,737.04

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Solution

The fourth proportional to 7,773.84, 11,678.04 and 6,737.04 is: 10,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.84 : 11,678.04 = 6,737.04 : x
  2. Step 2: Convert to fraction form
    7,773.84/11,678.04 = 6,737.04/x
  3. Step 3: Cross multiply
    7,773.84x = 11,678.04 × 6,737.04
  4. Step 4: Simplify right side
    7,773.84x = 78,675,422.60
  5. Step 5: Solve for x
    x = 78,675,422.60/7,773.84
  6. Step 6: Final answer
    x = 10,120.54

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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.