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Finding the Fourth Proportional to 22,762, 34,143.36 and 6,346

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Solution

The fourth proportional to 22,762, 34,143.36 and 6,346 is: 9,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762 : 34,143.36 = 6,346 : x
  2. Step 2: Convert to fraction form
    22,762/34,143.36 = 6,346/x
  3. Step 3: Cross multiply
    22,762x = 34,143.36 × 6,346
  4. Step 4: Simplify right side
    22,762x = 216,673,762.56
  5. Step 5: Solve for x
    x = 216,673,762.56/22,762
  6. Step 6: Final answer
    x = 9,519.10

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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.