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Finding the Fourth Proportional to 10,504.80, 15,762.74 and 4,662

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Solution

The fourth proportional to 10,504.80, 15,762.74 and 4,662 is: 6,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.80 : 15,762.74 = 4,662 : x
  2. Step 2: Convert to fraction form
    10,504.80/15,762.74 = 4,662/x
  3. Step 3: Cross multiply
    10,504.80x = 15,762.74 × 4,662
  4. Step 4: Simplify right side
    10,504.80x = 73,485,870.57
  5. Step 5: Solve for x
    x = 73,485,870.57/10,504.80
  6. Step 6: Final answer
    x = 6,995.46

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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.