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Finding the Fourth Proportional to 6,622.34, 9,927.14 and 2,461.23

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Solution

The fourth proportional to 6,622.34, 9,927.14 and 2,461.23 is: 3,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.34 : 9,927.14 = 2,461.23 : x
  2. Step 2: Convert to fraction form
    6,622.34/9,927.14 = 2,461.23/x
  3. Step 3: Cross multiply
    6,622.34x = 9,927.14 × 2,461.23
  4. Step 4: Simplify right side
    6,622.34x = 24,432,962.48
  5. Step 5: Solve for x
    x = 24,432,962.48/6,622.34
  6. Step 6: Final answer
    x = 3,689.48

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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.