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Finding the Fourth Proportional to 7,737.93, 11,606.91 and 1,894.56

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Solution

The fourth proportional to 7,737.93, 11,606.91 and 1,894.56 is: 2,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.93 : 11,606.91 = 1,894.56 : x
  2. Step 2: Convert to fraction form
    7,737.93/11,606.91 = 1,894.56/x
  3. Step 3: Cross multiply
    7,737.93x = 11,606.91 × 1,894.56
  4. Step 4: Simplify right side
    7,737.93x = 21,989,987.41
  5. Step 5: Solve for x
    x = 21,989,987.41/7,737.93
  6. Step 6: Final answer
    x = 2,841.84

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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.