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Finding the Fourth Proportional to 7,737.93, 10,678.37 and 4,201.16

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Solution

The fourth proportional to 7,737.93, 10,678.37 and 4,201.16 is: 5,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.93 : 10,678.37 = 4,201.16 : x
  2. Step 2: Convert to fraction form
    7,737.93/10,678.37 = 4,201.16/x
  3. Step 3: Cross multiply
    7,737.93x = 10,678.37 × 4,201.16
  4. Step 4: Simplify right side
    7,737.93x = 44,861,466.51
  5. Step 5: Solve for x
    x = 44,861,466.51/7,737.93
  6. Step 6: Final answer
    x = 5,797.61

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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.