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Finding the Fourth Proportional to 7,709, 11,565.42 and 2,237

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Solution

The fourth proportional to 7,709, 11,565.42 and 2,237 is: 3,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709 : 11,565.42 = 2,237 : x
  2. Step 2: Convert to fraction form
    7,709/11,565.42 = 2,237/x
  3. Step 3: Cross multiply
    7,709x = 11,565.42 × 2,237
  4. Step 4: Simplify right side
    7,709x = 25,871,844.54
  5. Step 5: Solve for x
    x = 25,871,844.54/7,709
  6. Step 6: Final answer
    x = 3,356.06

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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.