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Finding the Fourth Proportional to 7,179.10, 10,762.16 and 6,401.50

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Solution

The fourth proportional to 7,179.10, 10,762.16 and 6,401.50 is: 9,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.10 : 10,762.16 = 6,401.50 : x
  2. Step 2: Convert to fraction form
    7,179.10/10,762.16 = 6,401.50/x
  3. Step 3: Cross multiply
    7,179.10x = 10,762.16 × 6,401.50
  4. Step 4: Simplify right side
    7,179.10x = 68,893,967.24
  5. Step 5: Solve for x
    x = 68,893,967.24/7,179.10
  6. Step 6: Final answer
    x = 9,596.46

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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.