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Finding the Fourth Proportional to 6,451.30, 8,911.20 and 4,977.46

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Solution

The fourth proportional to 6,451.30, 8,911.20 and 4,977.46 is: 6,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.30 : 8,911.20 = 4,977.46 : x
  2. Step 2: Convert to fraction form
    6,451.30/8,911.20 = 4,977.46/x
  3. Step 3: Cross multiply
    6,451.30x = 8,911.20 × 4,977.46
  4. Step 4: Simplify right side
    6,451.30x = 44,355,141.55
  5. Step 5: Solve for x
    x = 44,355,141.55/6,451.30
  6. Step 6: Final answer
    x = 6,875.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.