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Finding the Fourth Proportional to 10,566.51, 15,855.22 and 4,647.54

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Solution

The fourth proportional to 10,566.51, 15,855.22 and 4,647.54 is: 6,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.51 : 15,855.22 = 4,647.54 : x
  2. Step 2: Convert to fraction form
    10,566.51/15,855.22 = 4,647.54/x
  3. Step 3: Cross multiply
    10,566.51x = 15,855.22 × 4,647.54
  4. Step 4: Simplify right side
    10,566.51x = 73,687,757.54
  5. Step 5: Solve for x
    x = 73,687,757.54/10,566.51
  6. Step 6: Final answer
    x = 6,973.71

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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.