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Finding the Fourth Proportional to 22,756, 34,134.36 and 6,340

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Solution

The fourth proportional to 22,756, 34,134.36 and 6,340 is: 9,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756 : 34,134.36 = 6,340 : x
  2. Step 2: Convert to fraction form
    22,756/34,134.36 = 6,340/x
  3. Step 3: Cross multiply
    22,756x = 34,134.36 × 6,340
  4. Step 4: Simplify right side
    22,756x = 216,411,842.40
  5. Step 5: Solve for x
    x = 216,411,842.40/22,756
  6. Step 6: Final answer
    x = 9,510.10

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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.