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Finding the Fourth Proportional to 22,923, 34,390.28 and 6,507

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Solution

The fourth proportional to 22,923, 34,390.28 and 6,507 is: 9,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923 : 34,390.28 = 6,507 : x
  2. Step 2: Convert to fraction form
    22,923/34,390.28 = 6,507/x
  3. Step 3: Cross multiply
    22,923x = 34,390.28 × 6,507
  4. Step 4: Simplify right side
    22,923x = 223,777,551.96
  5. Step 5: Solve for x
    x = 223,777,551.96/22,923
  6. Step 6: Final answer
    x = 9,762.14

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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.