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Finding the Fourth Proportional to 7,737.81, 10,678.19 and 4,201.02

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Solution

The fourth proportional to 7,737.81, 10,678.19 and 4,201.02 is: 5,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.81 : 10,678.19 = 4,201.02 : x
  2. Step 2: Convert to fraction form
    7,737.81/10,678.19 = 4,201.02/x
  3. Step 3: Cross multiply
    7,737.81x = 10,678.19 × 4,201.02
  4. Step 4: Simplify right side
    7,737.81x = 44,859,268.75
  5. Step 5: Solve for x
    x = 44,859,268.75/7,737.81
  6. Step 6: Final answer
    x = 5,797.41

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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.