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Finding the Fourth Proportional to 7,737, 10,676.91 and 4,380.45

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Solution

The fourth proportional to 7,737, 10,676.91 and 4,380.45 is: 6,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 10,676.91 = 4,380.45 : x
  2. Step 2: Convert to fraction form
    7,737/10,676.91 = 4,380.45/x
  3. Step 3: Cross multiply
    7,737x = 10,676.91 × 4,380.45
  4. Step 4: Simplify right side
    7,737x = 46,769,670.41
  5. Step 5: Solve for x
    x = 46,769,670.41/7,737
  6. Step 6: Final answer
    x = 6,044.94

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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.