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Finding the Fourth Proportional to 6,551.04, 9,041.92 and 4,456

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Solution

The fourth proportional to 6,551.04, 9,041.92 and 4,456 is: 6,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.04 : 9,041.92 = 4,456 : x
  2. Step 2: Convert to fraction form
    6,551.04/9,041.92 = 4,456/x
  3. Step 3: Cross multiply
    6,551.04x = 9,041.92 × 4,456
  4. Step 4: Simplify right side
    6,551.04x = 40,290,795.52
  5. Step 5: Solve for x
    x = 40,290,795.52/6,551.04
  6. Step 6: Final answer
    x = 6,150.29

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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.