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Finding the Fourth Proportional to 7,737, 10,677.06 and 4,200.24

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Solution

The fourth proportional to 7,737, 10,677.06 and 4,200.24 is: 5,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737 : 10,677.06 = 4,200.24 : x
  2. Step 2: Convert to fraction form
    7,737/10,677.06 = 4,200.24/x
  3. Step 3: Cross multiply
    7,737x = 10,677.06 × 4,200.24
  4. Step 4: Simplify right side
    7,737x = 44,846,214.49
  5. Step 5: Solve for x
    x = 44,846,214.49/7,737
  6. Step 6: Final answer
    x = 5,796.33

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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.