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Finding the Fourth Proportional to 22,938, 34,412.78 and 6,522

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Solution

The fourth proportional to 22,938, 34,412.78 and 6,522 is: 9,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938 : 34,412.78 = 6,522 : x
  2. Step 2: Convert to fraction form
    22,938/34,412.78 = 6,522/x
  3. Step 3: Cross multiply
    22,938x = 34,412.78 × 6,522
  4. Step 4: Simplify right side
    22,938x = 224,440,151.16
  5. Step 5: Solve for x
    x = 224,440,151.16/22,938
  6. Step 6: Final answer
    x = 9,784.64

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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.