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Finding the Fourth Proportional to 22,953, 34,435.26 and 6,537

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Solution

The fourth proportional to 22,953, 34,435.26 and 6,537 is: 9,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953 : 34,435.26 = 6,537 : x
  2. Step 2: Convert to fraction form
    22,953/34,435.26 = 6,537/x
  3. Step 3: Cross multiply
    22,953x = 34,435.26 × 6,537
  4. Step 4: Simplify right side
    22,953x = 225,103,294.62
  5. Step 5: Solve for x
    x = 225,103,294.62/22,953
  6. Step 6: Final answer
    x = 9,807.14

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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.